# How do you add \frac { 2} { 4} + \frac { 1} { 2}?

Mar 3, 2018

See explanation.

#### Explanation:

To add (or subtract) two fractions with different denominators first you have to find a common denominator.

You can do it by reducing or expanding.

• You can reduce $\frac{2}{4}$ by $2$:

$\frac{2}{4} + \frac{1}{2} = \frac{\cancel{2} 1}{\cancel{4} 2} + \frac{1}{2} = \frac{1}{2} + \frac{1}{2}$

• You can expand $\frac{1}{2}$ by $2$:

$\frac{2}{4} + \frac{1 \cdot 2}{2 \cdot 2} = \frac{2}{4} + \frac{2}{4}$

If you already have the same denominators you have to add (subtract) the numerators:

$\frac{1}{2} + \frac{1}{2} = \frac{1 + 1}{2} = \frac{2}{2} = 1$

$\frac{2}{4} + \frac{2}{4} = \frac{2 + 2}{4} = \frac{4}{4} = 1$

Mar 3, 2018

1

#### Explanation:

$\frac{2}{4} + \frac{1}{2}$

$= \frac{2 \div 2}{4 \div 2} + \frac{1}{2}$

$= \frac{1}{2} + \frac{1}{2}$

$= \frac{1 + 1}{2}$

$= \frac{2}{2}$

$= 1$