Multiplication of integers by a fraction and a mixed number

In this article, we will learn how to multiply an integer with a fraction and a mixed number without any problem!

When it comes to multiplication exercises, there is no need to find a common denominator and all we have to do is convert the integers and mixed numbers into equivalent fractions.

Steps to Solve the Multiplication of Integers with a Fraction and a Mixed Number

The first step

Convert whole numbers and mixed numbers into equivalent fractions, with only the numerator and denominator and rewrite the exercise.

The second step

Multiply the numerators -> numerator by numerator by numerator

Multiply the denominators -> denominator by denominator by denominator

Product of the numerators -> will be the new numerator.

Product of the denominators -> will be the new denominator.

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How to convert an equivalent fraction into a mixed number?

We will learn with the example

Convert the equivalent fraction $\frac {241}{62}$ into a mixed number.

Solution:

To convert an equivalent fraction into a mixed number, we will divide the numerator by the denominator and refer only to the whole number we receive (ignore the remainder).

$241:62=3…….$

This will be the number of wholes.

Then, we subtract from the given numerator the result of multiplying the whole number by the denominator to see how much is left to "complete" it.

That is:

$241-(3\times 62)=55$

The result we receive will be written in the numerator.

The denominator will remain the same.

We obtain: $3 \frac {55}{62}$

You can always test yourself and see if you return to the same equivalent fraction.