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# Help Zone

### Student Question

Secondary I • 1yr.

How to add these 2 fractions:

$$\frac{2}{5} + \frac{5}{6}$$

Mathematics

## Explanations (1)

• Explanation from Alloprof

Explanation from Alloprof

This Explanation was submitted by a member of the Alloprof team.

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Team Alloprof • 1yr.

Hello!

To add two fractions up, it is necessary to put them on the same denominator.

I'll give you an example:

$$\frac{3}{6} + \frac{5}{7} = \frac{3*7}{6*7}+ \frac{5*6}{7*6} =$$

$$\frac{21}{42} + \frac{30}{42} = \frac{21+30}{42} = \frac{51}{42}$$

If you are asked to simplify, it will be necessary to find the GCD. In my example, the GCD of 51 and 42 is 3.

So,

$$\frac{51÷3}{42÷3} = \frac{17}{14}$$

I hope this has been profitable for you .

Now try to practice this with some exercises to familiarize yourself with what you just learned 😊.