Basic Math Examples

$(\frac{3}{5} - \frac{3}{20}) \cdot \frac{4}{5}$

Step 1

To write $\frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$(\frac{3}{5} \cdot \frac{4}{4} - \frac{3}{20}) \cdot \frac{4}{5}$

Step 2

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

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Step 2.1

Multiply $\frac{3}{5}$ by $\frac{4}{4}$ .

$(\frac{3 \cdot 4}{5 \cdot 4} - \frac{3}{20}) \cdot \frac{4}{5}$

Step 2.2

Multiply $5$ by $4$ .

$(\frac{3 \cdot 4}{20} - \frac{3}{20}) \cdot \frac{4}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 4 - 3}{20} \cdot \frac{4}{5}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3$ by $4$ .

$\frac{12 - 3}{20} \cdot \frac{4}{5}$

Step 4.2

Subtract $3$ from $12$ .

$\frac{9}{20} \cdot \frac{4}{5}$

Step 5

Cancel the common factor of $4$ .

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Step 5.1

Factor $4$ out of $20$ .

$\frac{9}{4 (5)} \cdot \frac{4}{5}$

Step 5.2

Cancel the common factor.

$\frac{9}{4 \cdot 5} \cdot \frac{4}{5}$

Step 5.3

Rewrite the expression.

$\frac{9}{5} \cdot \frac{1}{5}$

Step 6

Multiply $\frac{9}{5}$ by $\frac{1}{5}$ .

$\frac{9}{5 \cdot 5}$

Step 7

Multiply $5$ by $5$ .

$\frac{9}{25}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{25}$

Decimal Form:

$0.36$