Simplify 5/7+4/5

$\frac{5}{7} + \frac{4}{5}$

Step 1

To write $\frac{5}{7}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{7} \cdot \frac{5}{5} + \frac{4}{5}$

Step 2

To write $\frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{5}{7} \cdot \frac{5}{5} + \frac{4}{5} \cdot \frac{7}{7}$

Step 3

Write each expression with a common denominator of $35$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{7}$ by $\frac{5}{5}$ .

$\frac{5 \cdot 5}{7 \cdot 5} + \frac{4}{5} \cdot \frac{7}{7}$

Multiply $7$ by $5$ .

$\frac{5 \cdot 5}{35} + \frac{4}{5} \cdot \frac{7}{7}$

Multiply $\frac{4}{5}$ by $\frac{7}{7}$ .

$\frac{5 \cdot 5}{35} + \frac{4 \cdot 7}{5 \cdot 7}$

Multiply $5$ by $7$ .

$\frac{5 \cdot 5}{35} + \frac{4 \cdot 7}{35}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 + 4 \cdot 7}{35}$

Step 5

Simplify the numerator.

Multiply $5$ by $5$ .

$\frac{25 + 4 \cdot 7}{35}$

Multiply $4$ by $7$ .

$\frac{25 + 28}{35}$

Add $25$ and $28$ .

$\frac{53}{35}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{53}{35}$

Decimal Form:

$1.51428571 \dots$

Mixed Number Form:

$1 \frac{18}{35}$