# Get to Know How to Multiply Fractions With Whole Numbers

If you are absolutely clueless about multiplication of fractions with whole numbers, this write-up is a must read. Here, you will find an explanation of how it works.

Omkar Phatak

Last Updated: Dec 29, 2018

How it's Done

One of the many forms of problems related to fractions, that you will be posed with, when solving your math assignments, is the multiplication of fractions with whole numbers. Here's how the operation is carried out.

❖ When multiplying, remember that the whole number must only multiply the numerator of the fraction and not the denominator.

❖ When multiplying, remember that the whole number must only multiply the numerator of the fraction and not the denominator.

❖ If you are dealing with a mixed fraction, it is best to convert it into a simple fraction, before multiplying it with the whole number.

*(2 / 7) x (4) = (2 x 4) / 7 = 8 / 7*

Example 1:

Example 1:

*Example 2:*(15 / 8) x (3) = (15 x 3) / 8 = 45 / 8

*Example 3:*(6 / 5) x (2) = (6 x 2) / 5 = 12 / 5

*Example 4:*(6 / 19) x (5) = (6 x 5) / 19 = 30 / 19

*Example 5:*(3 ½) x 4 = [{(3 x 2) + 1} / 2] x 4 = (7 / 2) x 4 = (7 x 4) / 2 = 28 / 2 = 14