Question

What is `2/6` + `3/5`?

Answer 1

The result is `14/15`

Explanation:

First it is useful to notice that `2` and `6` are both even numbers so fraction `2/6` can be reduced to `1/3`.

After the reduction our expression becomes: `1/3+3/5`

To calculate value of such expression we have to write both fractions as fractions with the same denominator. We can do this by expanding both fractions by the other fraction's denominator:

`1/3*color(red)(5/5)+3/5*color(red)(3/3)=5/15+9/15`

Finally to add the fractions with equal denominators we just add their numerators (the denominator stays unchanged):

`5/15+9/15=(5+9)/15=14/15`