Practise mathematics online - the new site of Mathefritz

# Multiplying fractions - Learning fraction multiplication

## Multiplying fractions - this is how it works

Multiplying fractions - how does it work?

To do this, we first multiply fractions by whole numbers. That is still simple.

Then we multiply fractions by fractions.

Once we have understood these arithmetic rules, we practise larger arithmetic expressions with fractions, brackets, plus, minus and multiplication signs.

## Multiply fractions by whole number

Multiplying fractions by whole numbers - Rule | Definition

You multiply a fraction by a whole number by multiplying the numerator of the fraction by the number and leaving the denominator of the fraction unchanged!

You can also make this clear to yourself by understanding multiplication by a number as multiple addition! Adding fractions like multiplication by a whole number ## Fractions Multiplication Tasks Worksheet & Online Exercise

A worksheet for the following online exercises. Simply print it out and practise on paper or fill it in on your tablet with a pen.

As a test or class work for an easy introduction to fractions! Are you fit?

The online exercises will be created very soon!

## online exercise - multiplying fractions and fractions

Two pages of worksheets for the following online exercises. Simply print them out and practise on paper or fill them in on your tablet with a pen.

As a test or class work for an easy introduction to fractions! Are you fit?

Multiplying fractions tasks - exercise (1) Fractions with equal denominators

Enter only the numerator of the fraction in the empty field as the result!

Fraction exercises - Exercise (2) Fractions with equal denominatorsEnter only the numerator of the fraction in the empty field as the result!

## Multiply fractions - calculate larger arithmetic expressions

#### So you can add and subtract fractions if they do NOT have the same denominator (are not of the same name).

Fractions with different denominators can only be added or subtracted when the denominators are the same. To do this, you have to reduce and/or expand the fractions until they have the same denominator.

The common denominator (main denominator) results from the smallest common multiple of all denominators involved!

Examples:

(1) $$\frac{1}{3} +\frac{1}{4} = \frac{1\cdot 4}{3 \cdot 4} + \frac{1 \cdot 3}{4 \cdot 3} = \frac{4}{12} +\frac{3}{12} = \frac{7}{12}$$

(2) $$\frac{2}{9} +\frac{1}{6} = \frac{2\cdot 2}{9 \cdot 2} + \frac{1 \cdot 3}{6 \cdot 3} = \frac{4}{18} +\frac{3}{18} = \frac{7}{18}$$

You can also find more theory about fractions on Wikipedia

Normally you do this in fractions grade 5.

Exercise (1) - Find the same denominator of 2 fractions and then add the fractions.Add the missing numbers to the numerator of the fraction. Look carefully. The common denominator of the fractions is already there!

Exercise (2) - Find the same denominator of 2 fractions and then add the fractions.

Add the missing numbers to the numerator of the fraction. Look carefully. The common denominator of the fractions is already there!

Exercise (3) - Write down the task and then work it out!

Add the missing numbers to the numerator and denominator of the fraction.

Worksheets multiply simple fractions

The tasks from the exercises type (III) as PDF for printing:

Exercise (4) - Multiply fractions

These fractions tasks with solutions tasks are only available as worksheets PDF for printing. Here is an example of how the tasks look:

## The exercise book for fractions

The exercise book on this topic: