How to multiply fractions

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ISEE Middle Level Quantitative Reasoning › How to multiply fractions

Questions 1 - 10
1

Multiply the following:

Explanation

When multiplying fractions, we will multiply the numerators together, then multiply the denominators together. We do NOT have to find a common denominator. So,

2

Explanation

When dealing with problems that involve fractions and whole numbers, first convert your whole number into a fraction. You can easily do this by putting the whole number over 1.

When multiplying, multiply the numerators by each other and the denominators by each other.

Always reduce a fraction when possible. In this case, the numerator and denominator of are both divisible by 4. So, it reduces to 9.

3

Simplify the following expression:

Explanation

Simplify the following expression:

To multiply fractions, simply multiply across the top and bottom:

Now, we cannot simplify our answer, so our answer remains:

4

Multiply the following:

Explanation

When multiplying fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT have to find a common denominator.

So,

5

Explanation

Multiply the numerators then denominators:

Answer:

6

Solve the following:

Explanation

To multiply equations, we will multiply the numerators together, then we will multiply the denominators together. So, we get

7

Multiply the following:

Explanation

To multiply fractions, we will multiply the numerators together and the denominators together. We get

8

Multiply the following:

Explanation

To multiply fractions, we will multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator.

So, in the problem

We will first write 18 as a fraction. We know that whole numbers can be written as a fraction over 1. So, we get

Now, before we multiply, we can simplify to make things easier. The 3 and the 18 can both be divided by 3. We get

Now, we can multiply straight across. We get

9

Multiply the following:

Explanation

To multiply fractions, we will simply multiply the numerators together, then we will multiply the denominators together. Note that we do NOT need to find a common denominator. So,

10

Multiply the following:

Explanation

To multiply fractions, we will multiply straight across. In other words, we will multiply the numerators together, then we will multiply the denominators together. So, we get

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