Evaluate 2/5+7/20

$\frac{2}{5} + \frac{7}{20}$

To write $\frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2}{5} \cdot \frac{4}{4} + \frac{7}{20}$

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{2}{5}$ and $\frac{4}{4}$ .

$\frac{2 \cdot 4}{5 \cdot 4} + \frac{7}{20}$

Multiply $5$ by $4$ .

$\frac{2 \cdot 4}{20} + \frac{7}{20}$

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 7}{20}$

Simplify the numerator.

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Multiply $2$ by $4$ .

$\frac{8 + 7}{20}$

Add $8$ and $7$ .

$\frac{15}{20}$

Cancel the common factor of $15$ and $20$ .

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Factor $5$ out of $15$ .

$\frac{5 (3)}{20}$

Cancel the common factors.

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Factor $5$ out of $20$ .

$\frac{5 \cdot 3}{5 \cdot 4}$

Cancel the common factor.

$\frac{5 \cdot 3}{5 \cdot 4}$

Rewrite the expression.

$\frac{3}{4}$

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$

Evaluate 2/5+7/20