Evaluate 5/8+7/12

$\frac{5}{8} + \frac{7}{12}$

Step 1

To write $\frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{5}{8} \cdot \frac{3}{3} + \frac{7}{12}$

Step 2

To write $\frac{7}{12}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5}{8} \cdot \frac{3}{3} + \frac{7}{12} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{8}$ by $\frac{3}{3}$ .

$\frac{5 \cdot 3}{8 \cdot 3} + \frac{7}{12} \cdot \frac{2}{2}$

Multiply $8$ by $3$ .

$\frac{5 \cdot 3}{24} + \frac{7}{12} \cdot \frac{2}{2}$

Multiply $\frac{7}{12}$ by $\frac{2}{2}$ .

$\frac{5 \cdot 3}{24} + \frac{7 \cdot 2}{12 \cdot 2}$

Multiply $12$ by $2$ .

$\frac{5 \cdot 3}{24} + \frac{7 \cdot 2}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 + 7 \cdot 2}{24}$

Step 5

Simplify the numerator.

Multiply $5$ by $3$ .

$\frac{15 + 7 \cdot 2}{24}$

Multiply $7$ by $2$ .

$\frac{15 + 14}{24}$

Add $15$ and $14$ .

$\frac{29}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{24}$

Decimal Form:

$1.208\overline{3}$

Mixed Number Form:

$1 \frac{5}{24}$