How to find the decimal equivalent of a fraction - ISEE Lower Level Quantitative Reasoning

Card 0 of 20

Question

Which fraction is the smallest?

Answer

Fractions get smaller as the numerator (top number) gets smaller, and the denominator (bottom number) gets bigger. \dpi{100} \frac{1}{8} has the smallest numerator AND the largest denominator of any of the fractions.

Compare your answer with the correct one above

Question

Convert 0.5 into a fraction.

Answer

If a number is one position to the right of the decimal, the the decimal is equal to that number divided by ten. 0.5 is equal to .

We reduce the fraction to its simplest form. We divide the numerator by 5 and the denominator by 5.

Compare your answer with the correct one above

Question

Convert into a decimal.

Answer

is also called "seven-tenths". The tenths spot is to the right of the decimal point. is equal to seven tenths.

Ones:

Tenths:

Hundredths:

Thousandths:

Compare your answer with the correct one above

Question

Write as a decimal.

Answer

The fraction is 6 hundredths, therefore the decimal must have the 6 in the hundredths place, or .06.

Compare your answer with the correct one above

Question

Which fraction is largest?

Answer

is equal to 50%, while all the other fractions are between 10% and 36%. A good rule of thumb is that the smaller the denominator, the larger the fraction's value.

Compare your answer with the correct one above

Question

Write as a fraction in simplest form.

Answer

In order to write as a fraction in the most simple form, we must first write it as a fraction.

Now we must divide the numerator and denominator by the greatest common factor, which in this case is .

Compare your answer with the correct one above

Question

Which is the smallest fraction?

Answer

is the smallest fraction because it has the biggest denominator (which means that all of the pieces it's divided up into are the smallest out of the choices). Also, only 1 of those pieces would be shaded, so it is the smallest out of the choices.

Compare your answer with the correct one above

Question

Find the decimal equivalent of .

Answer

To convert a fraction to a decimal, the denominator of the fraction must be 100.

becomes . When the number is over one hundred, you can simply write it as a decimal, giving you 0.15.

Compare your answer with the correct one above

Question

What is the decimal equivalent to , rounded to two decimal points?

Answer

To convert a fraction into a decimal, divide the numerator by the denominator.:

This number has three digits of precision, but the question stem asks for two. is less than , so rounds down to .

Compare your answer with the correct one above

Question

Which of these numbers is equal to ?

Answer

To change a fraction into a decimal, divide the numerator by the denominator.

Compare your answer with the correct one above

Question

Which of these numbers is equal to ?

Answer

To convert a fraction into a decimal, divide the numerator by the denominator.

Compare your answer with the correct one above

Question

What is the decimal equivalent of ?

Answer

To find the decimal equivalent, divide the numerator by denominator. Divide 9 by 10. Your result is 0.9.

Compare your answer with the correct one above

Question

Write as a decimal.

Answer

Divide 3 by 8 as follows:

Division

The quotient, and decimal equivalent, is 0.375.

Compare your answer with the correct one above

Question

Write as a decimal.

Answer

Divide 8 by 3 as follows:

Division

It can be seen that the digit "6" repeats forever. Therefore, the quotient, and the decimal equivalent, is .

Compare your answer with the correct one above

Question

Write as a fraction in simplest form.

Answer

The expression means "thirty-seven hundredths", so write

.

Since 37 and 100 have a greatest common factor of 1, the fraction cannot be simplified further.

Compare your answer with the correct one above

Question

Write 0.72 as a fraction in lowest terms.

Answer

The expression means "seventy-two one hundredths", so we initially write

The greatest common factor of the numerator and the denominator is equal to 4, so reduce as follows:

Compare your answer with the correct one above

Question

Write as a decimal.

Answer

Divide 12 by 5 as follows:

Division

2.4 is the quotient, and the decimal equivalent.

Compare your answer with the correct one above

Question

Write as a decimal.

Answer

Divide 7 by 25 as follows:

Division

Compare your answer with the correct one above

Question

Which of the following can fill in the blank to make the sentence below true?

is ____ .

Answer

is less than . Specifically, .25 is one third of . Therefore, the correct answer is "less than."

Compare your answer with the correct one above

Question

How can the number be written in words?

Answer

Given that is equal to one tenth, is equal to one hundredth, and is equal to one thousandth, it follows that is equal to eight thousandths.

Compare your answer with the correct one above

Tap the card to reveal the answer