# How is multiplying fractions the same as multiplying whole numbers?

## How is multiplying fractions the same as multiplying whole numbers?

We know that multiplication is repeated addition. So, multiplying a fraction by a whole number is equivalent to adding the fraction for the whole number of times. Consider the product 5 x 2 3 . This is equivalent to adding 23, 5 times.

Why is dividing by a fraction the same as multiplying?

Dividing is the same as multiplying by the reciprocal. Each person gets 320 of a whole candy bar. Dividing a fraction by a whole number is the same as multiplying by the reciprocal, so you can always use multiplication of fractions to solve division problems.

Is multiplying fractions the same with multiplying integers?

When you’re multiplying fractions by an integer (or a whole number) you multiply the numerator of the fraction by the whole number, whilst the denominator of the fraction stays the same.

### How is the multiplication of fractions similar and different from whole number computation?

Multiply the numerator by the numerator and the denominator by the denominator. A fraction times a whole number is the same as the whole number times a fraction.

How do you solve fractions with whole numbers?

You turn the whole number into a fraction by putting the whole number as the numerator and one as the denominator. Then you multiply straight across the top and straight across the bottom. Reduce if needed. (Example: 3/4 * 2 would be 3/4 * 2/1.

How are fractions and whole numbers similar?

If the numerator is divisible by the denominator, the fraction is equivalent to a whole number. In other words, if you can divide the numerator by the denominator without any remainder, the fraction is equivalent to a whole number.

## How do I multiply fractions with whole numbers?

You can follow these steps to multiply a fraction by a whole number:

1. Write the whole number as a fraction with a denominator of 1.
2. Multiply the numerators.
3. Multiply the denominators.
4. Simplify. , if needed. If your answer is greater than 1, you may want to write your answer as a mixed number.

How to find a fraction of a whole number?

To find a fraction of a whole number, multiply the whole number by the numerator of the fraction. Divide the product by the denominator of the fraction, then reduce the answer to a mixed number in its simplest form.

Do you multiply by the numerator of the fraction?

When working with whole numbers, you will only multiply the number by the numerator (the top number) of the fraction. The denominator remains the same throughout the multiplication process. For example: ( 1/ 3) x 7 = 7/ 3. Divide by the denominator.

### When to use a common denominator for a whole number?

This method can be used any time you want to re-write a whole number as a fraction with a specific denominator. We could re-write the whole number 6 with a denominator of 8. The steps used are the same. This approach can also help in writing whole numbers as fractions with a common denominator.

Which is the simplest form of a fraction?

The simplest form of the fraction is when the top and bottom of the fraction are the smallest whole numbers they can be. For example, the fraction 18/8 isn’t in its simplest form because it can still be reduced down to 9/4 by dividing both the top and bottom of the fraction by 2.