How to find the decimal equivalent of a fraction - GRE Quantitative Reasoning
Card 0 of 16
If 
, 
can equal which of the following?
If
Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively. Therefore, the only answer which is within the desired range is 2/5.
Convert all of the fractions to decimals. Thus, x is contained within the range of 0.33 < x < 0.76. The answers choices become 1/4 = 0.25, 4/12 = 0.33, 2/5 = 0.4, and 5/16 = 0.3125, respectively. Therefore, the only answer which is within the desired range is 2/5.
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Choose the answer which best expresses the following fraction in decimal form (round to the nearest thousandth):
Choose the answer which best expresses the following fraction in decimal form (round to the nearest thousandth):
To convert a fraction into a decimal, you simply need to divide the numerator by the denominator. When the problem prompts you to round to the nearest thousandth, that means that you round to the third decimal place (i.e. go to the third decimal place, if the fourth is four or lower, you can leave the third decimal place digit alone, if the fourth is five or higher, raise the third decimal place digit by one).
When you divide 16 by 17 you will need to add a zero and a decimal place to 16 making it 160. From here we see that
but since we added a decimal place to 16 to create 160 we now need to move the decimal place of the answer one unit to the left.
To convert a fraction into a decimal, you simply need to divide the numerator by the denominator. When the problem prompts you to round to the nearest thousandth, that means that you round to the third decimal place (i.e. go to the third decimal place, if the fourth is four or lower, you can leave the third decimal place digit alone, if the fourth is five or higher, raise the third decimal place digit by one).
When you divide 16 by 17 you will need to add a zero and a decimal place to 16 making it 160. From here we see that
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Vega only purchases gardening claws in bulk cases. Each case is 150 claws for $2415.17.
Quantity A: The number of claws Vega can purchase with $41,082.05
Quantity B: The number of claws Vega can purchase with $43,473.05
Vega only purchases gardening claws in bulk cases. Each case is 150 claws for $2415.17.
Quantity A: The number of claws Vega can purchase with $41,082.05
Quantity B: The number of claws Vega can purchase with $43,473.05
Looking at the differences in prices, one might guess that Quantity B is the answer. Beware the easy answer; always check.
Instead, calculating how many cases of claws Vega can buy, keeping in mind that he cannot purchase part of a case. Do not round up!
Quantity A:
Quantity B:
In either case, he can buy no more than seventeen cases. The two quantities are equal.
Looking at the differences in prices, one might guess that Quantity B is the answer. Beware the easy answer; always check.
Instead, calculating how many cases of claws Vega can buy, keeping in mind that he cannot purchase part of a case. Do not round up!
Quantity A:
Quantity B:
In either case, he can buy no more than seventeen cases. The two quantities are equal.
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Isley only buys seeds for her gardening store in bulk cases, with each case containing 
packets of seeds and costing $343.25.
Quantity A: The number of seeds Isley can purchase with $3837.54
Quantity B: The number of seeds Isley can purchase with $3871.86
Isley only buys seeds for her gardening store in bulk cases, with each case containing
Quantity A: The number of seeds Isley can purchase with $3837.54
Quantity B: The number of seeds Isley can purchase with $3871.86
Looking at how close the dollar values are for A and B, it's tempting to think the GRE is being tricky, and that B will allow for the purchase of more cases of seeds.
Do not assume; check to see whether or not this is the situation. Note that a portion of a case cannot be purchased; round down to the nearest integer when calculating how many cases may be bought.
Since each case is $343.25
Quantity A:
Quantity B:
The two quantities are equal.
Looking at how close the dollar values are for A and B, it's tempting to think the GRE is being tricky, and that B will allow for the purchase of more cases of seeds.
Do not assume; check to see whether or not this is the situation. Note that a portion of a case cannot be purchased; round down to the nearest integer when calculating how many cases may be bought.
Since each case is $343.25
Quantity A:
Quantity B:
The two quantities are equal.
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0.3 < 1/3
4 > √17
1/2 < 1/8
–|–6| = 6
Which of the above statements is true?
0.3 < 1/3
4 > √17
1/2 < 1/8
–|–6| = 6
Which of the above statements is true?
The best approach to this equation is to evaluate each of the equations and inequalities. The absolute value of –6 is 6, but the opposite of that value indicated by the “–“ is –6, which does not equal 6.
1/2 is 0.5, while 1/8 is 0.125 so 0.5 > 0.125.
√17 has to be slightly more than the √16, which equals 4, so“>” should be “<”.
Finally, the fraction 1/3 has repeating 3s which makes it larger than 3/10 so it is true.
The best approach to this equation is to evaluate each of the equations and inequalities. The absolute value of –6 is 6, but the opposite of that value indicated by the “–“ is –6, which does not equal 6.
1/2 is 0.5, while 1/8 is 0.125 so 0.5 > 0.125.
√17 has to be slightly more than the √16, which equals 4, so“>” should be “<”.
Finally, the fraction 1/3 has repeating 3s which makes it larger than 3/10 so it is true.
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Which of the following numbers is between 1/5 and 1/6?
Which of the following numbers is between 1/5 and 1/6?
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
Long division shows that 1/5 = 0.20 and 1/6 = 0.16666... 0.13 < 0.16 < 1/6 < 0.19 < 1/5 < 0.22 < 0.25.
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Quantity A: 
Quantity B: 
Quantity A:
Quantity B:
The GRE test now has a built-in calculator. Simply convert the fractions to decimals and compare:
Quantity A = 0.333 +0.43 + 0.2 = 0.963
Quantity B = 0.1429 + 0.5 + 0.3333 = 0.976
Thus, Quantity B is larger.
The GRE test now has a built-in calculator. Simply convert the fractions to decimals and compare:
Quantity A = 0.333 +0.43 + 0.2 = 0.963
Quantity B = 0.1429 + 0.5 + 0.3333 = 0.976
Thus, Quantity B is larger.
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Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Trevor, James, and Will were each given a candy bar. Trevor ate 7/12 of his and Will ate 20% of his. If James ate more than Will and less than Trevor, what amount could James have eaten?
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
Turn Trevor and Will’s amounts into decimals to compare: 20% = 0.20 and 7/12 = 0.5083 rounded. When the answer choices are converted into decimals, 2/7 = 0.2871 is the only value between 0.20 and 0.5083.
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The ogre under the bridge eats 
of a pizza and then throws the rest of the pizza to the rats. The rats eat 
of what is left. What fraction of the pizza is left when the rats are done?
The ogre under the bridge eats
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
1/5 of the pizza is left after the ogre eats his share. The rats eat 3/4 of that, so 1/4 of 1/5 of the pizza is left.
1/4 * 1/5 = 1/20 = 5%
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Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.
Multiply numerator by the other numerator and multiply the denominator by the other denominator for multiplication. To divide fractions, switch numerator and denominator and treat it as multiplication. The answer is 0.07.
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Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
10 < n < 15
Quantity A Quantity B
7/13 4/n
Quantitative Comparison: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given.
10 < n < 15
Quantity A Quantity B
7/13 4/n
To determine which quantity is greater, we must first determine the range of potential values for Quantity B. Let's call this quantity m. This is most efficiently done by dividing 4 by the highest and lowest possible values for n.
4/10 = 0.4
4/15 = 0.267
So the possible values for m are 0.267 < m < 0.4
Now let's find the value for 7/13, to make comparison easier.
7/13 = 0.538
Given this, no matter what the value of n is, 7/13 will still be a higher proportion, so Quantity B is greater.
To determine which quantity is greater, we must first determine the range of potential values for Quantity B. Let's call this quantity m. This is most efficiently done by dividing 4 by the highest and lowest possible values for n.
4/10 = 0.4
4/15 = 0.267
So the possible values for m are 0.267 < m < 0.4
Now let's find the value for 7/13, to make comparison easier.
7/13 = 0.538
Given this, no matter what the value of n is, 7/13 will still be a higher proportion, so Quantity B is greater.
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How much less is 
than 
?
How much less is
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Choose the answer which best expresses the following fraction as a decimal (if necessary, round to the nearest hundredth):
Choose the answer which best expresses the following fraction as a decimal (if necessary, round to the nearest hundredth):
To solve this problem, simply divide the numerator by the denomenator. We see that when we try to divide these two numbers that 9 does not go into 2 therefore we need to add a decimal place and a zero to 2. Now we have 2.0 divided by 9 from here we can see that .2 times 9 gives us 1.8 which is close to 2. Now we subtract 1.8 from 2 and are left with .2. We repeat this process.
You are left with 
repeating, which can be rounded to 
, so that is the best answer.
To solve this problem, simply divide the numerator by the denomenator. We see that when we try to divide these two numbers that 9 does not go into 2 therefore we need to add a decimal place and a zero to 2. Now we have 2.0 divided by 9 from here we can see that .2 times 9 gives us 1.8 which is close to 2. Now we subtract 1.8 from 2 and are left with .2. We repeat this process.
You are left with
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Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
To express a fraction as a decimal, simply divide the numerator by the denomenator. In this case, you divide thirty two by thirty seven. From here add a decimal place and a zero after 32. Now we are able to divide.
Thus yielding: 
repeating.
Round to the nearest hundredth, and you get 
because the value in the thousandths place is a four or lower therefore, the value in the hundredths place remains the same.
To express a fraction as a decimal, simply divide the numerator by the denomenator. In this case, you divide thirty two by thirty seven. From here add a decimal place and a zero after 32. Now we are able to divide.
Thus yielding:
Round to the nearest hundredth, and you get
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Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
To convert, first divide the numerator (twelve), by the denomenator (eleven), and you will yield:
repeating.
Then, you may round to the nearest hundredth, which gives you 
.
Since the value in the thousandths place is less than four this means the the value in the hundredths place will remain the same.
To convert, first divide the numerator (twelve), by the denomenator (eleven), and you will yield:
Then, you may round to the nearest hundredth, which gives you
Since the value in the thousandths place is less than four this means the the value in the hundredths place will remain the same.
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Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
Choose the answer below which best expresses the following fraction as a decimal (round to the nearest hundredth, if necessary):
To convert, first divide the numerator by the denomenator. For this problem we will need to add a decimal place and a zero to the end of 17 before we divide.
Then, you will yield 
repeating.
Then you can round to the nearest hundredth, which will give you your final answer of 
.
Since the value in the thousandths place is a seven which is greater than four, we will need to round the value in the hundredths place up to eight.
To convert, first divide the numerator by the denomenator. For this problem we will need to add a decimal place and a zero to the end of 17 before we divide.
Then, you will yield
Then you can round to the nearest hundredth, which will give you your final answer of
Since the value in the thousandths place is a seven which is greater than four, we will need to round the value in the hundredths place up to eight.
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