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.
Fractions Addition with equal denominator
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
The tasks from this page as a PDF to print out:
Adding and subtracting unequal fractions
are added by bringing the fractions
to the same denominator.
Then add the numerators!
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 (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.
Addition, find tasks
to print out
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:
Fractions Colouring
to print out
Fraction tasks with solutions PDF and online
somewhat more difficult tasks!
Adding and subtracting unequal fractions
Fractions Grade 6 / Grade 5
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!
tasks!
Making cards - adding, subtracting, comparing fractions
Click on the respective picture!
each card approx. 8 cm wide
percentages, 9 cards per side,
each card approx. 5 cm wide
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!
