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How do you evaluate $\frac{2}{5} + \frac{3}{10}$ $2/5 + 3/10$ ?

1 Answer

Jun 28, 2016

Convert the fractions so they have a common denominator; then add the numerators to get $\frac{7}{10}$ $7/10$

Explanation:

Given
$XXX \frac{2}{5} + \frac{3}{10}$ $color(white)("XXX")2/5+3/10$

To add fractions we need to write them with the same denominator:
and since $\frac{2}{5} = \frac{4}{10}$ $2/5=4/10$

$XXX \frac{2}{5} + \frac{3}{10} = \frac{4}{10} + \frac{3}{10}$ $color(white)("XXX")2/5+3/10 = 4/10+3/10$

When fractions have the same denominator we can add the numerators and write the sum over that common denominator:
$XXX \frac{4}{10} + \frac{3}{10} = \frac{4 + 3}{10} = \frac{7}{10}$ $color(white)("XXX")4/10+3/10=(4+3)/10=7/10$

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