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# Adding fractions and subtracting fractions - PDF & online interactive

## How to add fractions? Adding and subtracting fractions - with the same denominator

Adding and subtracting fractions - that's what we have to learn before we can practise many fraction tasks with solutions here.

Addition of fractions with the same denominator. We only add the numerator, the denominator remains the same.

We can simply add fractions with the same denominator by adding the numerators. The denominator does not change!

You can see that very well in the picture above!

You can also illustrate fractions on the number line.

Adding fractions shown on the number line

Of course, the same rule applies to subtracting fractions: subtract the numerator (the number on the fraction line) and the denominator remains the same.

## Fractions Tasks - Adding and subtracting fractions with the same denominator

Preliminary exercise for the start: Have you understood the principle?

Draw the correct numbers in the spaces provided!

## online Exercise - Addition of fractions with equal denominators

Fractions Exercises - 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 denominators

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

Worksheets Addition and and Subtraction with Equal Denominators

## Adding and subtracting unequal fractions

#### 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 simple fractions addition and subtraction with different denominators

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

Exercise (4) - Addition of fractions and colouring in

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

## Fraction tasks with solutions PDF and online

We first add and subtract two fractions and find the main denominator and then the solution. Then we calculate tasks with several summands and also with brackets!

Exercise (5) - Add, subtract and find the main denominator of the fractionEnter the main denominator in the box and write down the result in the form$$\frac{A}{B}$$ Give the Numerator of the fraction in field A and the Denominator of the fraction in field B on!

## Making cards - adding, subtracting, comparing fractions

Flip the card. Simple!

Move the mouse or your finger over the picture!

## Playing fractions - adding, subtracting, comparing fractions

Here we show you how to practise fractions with these cards. Compare fractions or build your own tasks. The following variations are possible. There are no limits to your own imagination!

• Adding fractions and subtracting fractions
• Compare, arrange or sort fractions
• find equal fractions
• Comparing or adding fractions, decimals and percentages

Move your finger / the mouse over the picture!

Comparing fractions - online exercise (1) / online game with playing cards

Put the fractions in the right order!

Comparing fractions - online exercise (2) / online game with playing cards

Put the fractions in the right order!

## The exercise book for fractions

The exercise book on this topic: