Evaluate 7/40+9/50

$\frac{7}{40} + \frac{9}{50}$

Step 1

To write $\frac{7}{40}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{7}{40} \cdot \frac{5}{5} + \frac{9}{50}$

Step 2

To write $\frac{9}{50}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{7}{40} \cdot \frac{5}{5} + \frac{9}{50} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $200$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{40}$ by $\frac{5}{5}$ .

$\frac{7 \cdot 5}{40 \cdot 5} + \frac{9}{50} \cdot \frac{4}{4}$

Multiply $40$ by $5$ .

$\frac{7 \cdot 5}{200} + \frac{9}{50} \cdot \frac{4}{4}$

Multiply $\frac{9}{50}$ by $\frac{4}{4}$ .

$\frac{7 \cdot 5}{200} + \frac{9 \cdot 4}{50 \cdot 4}$

Multiply $50$ by $4$ .

$\frac{7 \cdot 5}{200} + \frac{9 \cdot 4}{200}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 5 + 9 \cdot 4}{200}$

Step 5

Simplify the numerator.

Multiply $7$ by $5$ .

$\frac{35 + 9 \cdot 4}{200}$

Multiply $9$ by $4$ .

$\frac{35 + 36}{200}$

Add $35$ and $36$ .

$\frac{71}{200}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{71}{200}$

Decimal Form:

$0.355$