How to divide - ISEE Lower Level Quantitative Reasoning

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Question

Answer

In order to divide fractions, we first take the reciprocal of the second fraction. To find the reciprocal, we switch the numerator and the denominator. So, the reciprocal of is .

Then we multiply the first fraction and the reciprocal.

We then multiply the numerators together: .

Then we multiply the denominators together: .

We divide the numerator (25) by the denominator (24) to get .

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Question

Sandy made candles in one day. If she packs them in boxes of , how many boxes will she have?

Answer

Sandy has candles, which she needs to divide in to boxes that contain candles each.

Sandy has 72 boxes of candles.

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Question

Maxine has graham crackes that she would like to share equally amoung friends. Which expression shows how many graham crackers each friend will recieve?

Answer

Since Maxine has 35 graham crackers that she is going to split equaly amoung 5 friends, she must divide.

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Question

Find the quotient.

Answer

When solving a problem with multiple operations, always remember: PEMDAS!

To find the quotient, first do the "P" .

Then the "E"

Then the "M"

Now "D"

The quotient is 21.

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Question

Which expression is equivalent to

Answer

The original expression is equal to 2 (remember order of operations-PEMDAS). Therefore, is the correct answer because that is the only response that is equal to 2.

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Question

In the pantry, there is an equal number of cereal boxes, bags of chips, and boxes of cookies. How many items could be in the pantry?

Answer

In order to have an equal number of cereal, chips, and cookies, the number of total items needs to be a number that is divisble by three. Of the four answer choices, is the only number that is a multiple of three.

Therefore, is the correct answer choice.

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Question

Alex types words per minute. How many words does she type per second?

Answer

Since there are sixty seconds in a minute, divide the number of words Alex types per minute by sixty to see how many she types per second.

Alex types words per second.

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Question

If can be divided by both and , it can also be divided by which number without leaving a remainder?

Answer

Of the four answer choices given, is the only choice that has both and as factors. Therefore, any number that is a multiple of , for example, or , is also divisible by both and .

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Question

One British pound is worth approximately $1.61. For how many British pounds (nearest whole) can a tourist expect to exchange $1,000?

Answer

$1,000 is equivalent to

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Question

Larry, who is fifty-one years old, is three times as old as his daughter, Judy. Judy is two years older than Larry's son Craig. How old is Craig?

Answer

If Larry's age of 51 is three times that of Judy, divide Larry's age by 3 to get Judy's age of . Craig is two years younger, or

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Question

Which of the following is NOT true about the number 18?

Answer

While the number 18 is divisible by 3, 6, and 18, it is not divisible by 12.

Dividing 18 by 12 results in a remainder of 6.

Therefore, the statement that is not true about the number 18 (and is hence the correct answer choice) is "It is divisible by 12."

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Question

Which of the following is a factor of 24?

Answer

A factor of a number is one that can be evenly divided into it. Given that 6 can be evenly divided in 24 (24 divided by 6 is 4), 6 is the correct answer.

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Question

Which of the following is not a factor of 36?

Answer

A factor is a number that can be evenly divided into another number. Given that 36 divided by 8 is equal to 4, remainder 4, 8 is not a factor of 36.

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Question

Which of the following is a factor of 64?

Answer

A factor of a number is one that can be evenly divided into it. Given that 64 divided by 32 is 2, 32 is a factor of 64.

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Question

Which of the following is both a factor of 6 and 12?

Answer

A factor of a number is one that evenly divides into it.

Given that 6 divided by 6 is 1, and that 12 divided by 6 is 2, 6 is the number that is a factor of both 6 and 12.

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Question

What is half the product of r and s?

Answer

The product of r and s is eqal to . Therefore, half of the product of rs will be equal to rs divided by 2. This results in:

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Question

Write .8 as a fraction in its simplest form.

Answer

The decimal .8 is equal to . When the numerator and denominator are divided by 2, the result is , which is the correct answer.

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Question

What are the prime factors of 12?

Answer

The factors of the number 12 are .

Of these numbers, 2 and 3 are prime. Therefore, 2 and 3 are the prime factors of 12.

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Question

What is 14 divided by 5?

Answer

When 14 is divided by 5, the result is 2 with a remainder of 4. This is because 5 times 2 is 10, and 14 minus 10 is 4.

Therefore, the correct answer is .

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Question

If 17 divided by x is equal to 3 remainder 2, what is the value of x?

Answer

A simple way to solve this problem is to plug in one of the answer choices for x. If 5 is plugged in as x, 17 divided by 5 is 3 with a remainder of 2. This is because 5 times 3 equals 15, and 17 minus 15 is equal to 2.

Therefore, 5 is the correct answer.

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