Write the Fraction in Simplest Form 5/10+8/100

$\frac{5}{10} + \frac{8}{100}$

Simplify each term.

Cancel the common factor of $5$ and $10$ .

Factor $5$ out of $5$ .

$\frac{5 (1)}{10} + \frac{8}{100}$

Cancel the common factors.

Factor $5$ out of $10$ .

$\frac{5 \cdot 1}{5 \cdot 2} + \frac{8}{100}$

Cancel the common factor.

$\frac{5 \cdot 1}{5 \cdot 2} + \frac{8}{100}$

Rewrite the expression.

$\frac{1}{2} + \frac{8}{100}$

Cancel the common factor of $8$ and $100$ .

Factor $4$ out of $8$ .

$\frac{1}{2} + \frac{4 (2)}{100}$

Cancel the common factors.

Factor $4$ out of $100$ .

$\frac{1}{2} + \frac{4 \cdot 2}{4 \cdot 25}$

Cancel the common factor.

$\frac{1}{2} + \frac{4 \cdot 2}{4 \cdot 25}$

Rewrite the expression.

$\frac{1}{2} + \frac{2}{25}$

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{25}{25}$ .

$\frac{1}{2} \cdot \frac{25}{25} + \frac{2}{25}$

To write $\frac{2}{25}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{1}{2} \cdot \frac{25}{25} + \frac{2}{25} \cdot \frac{2}{2}$

Write each expression with a common denominator of $50$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{2}$ by $\frac{25}{25}$ .

$\frac{25}{2 \cdot 25} + \frac{2}{25} \cdot \frac{2}{2}$

Multiply $2$ by $25$ .

$\frac{25}{50} + \frac{2}{25} \cdot \frac{2}{2}$

Multiply $\frac{2}{25}$ by $\frac{2}{2}$ .

$\frac{25}{50} + \frac{2 \cdot 2}{25 \cdot 2}$

Multiply $25$ by $2$ .

$\frac{25}{50} + \frac{2 \cdot 2}{50}$

Combine the numerators over the common denominator.

$\frac{25 + 2 \cdot 2}{50}$

Simplify the numerator.

Multiply $2$ by $2$ .

$\frac{25 + 4}{50}$

Add $25$ and $4$ .

$\frac{29}{50}$