Basic Math Examples

$\frac{1}{5} - \frac{1}{3} \cdot \frac{4}{5}$

Step 1

Multiply $- \frac{1}{3} \cdot \frac{4}{5}$ .

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Step 1.1

Multiply $\frac{4}{5}$ by $\frac{1}{3}$ .

$\frac{1}{5} - \frac{4}{5 \cdot 3}$

Step 1.2

Multiply $5$ by $3$ .

$\frac{1}{5} - \frac{4}{15}$

Step 2

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{1}{5} \cdot \frac{3}{3} - \frac{4}{15}$

Step 3

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{1}{5}$ by $\frac{3}{3}$ .

$\frac{3}{5 \cdot 3} - \frac{4}{15}$

Step 3.2

Multiply $5$ by $3$ .

$\frac{3}{15} - \frac{4}{15}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 - 4}{15}$

Step 5

Subtract $4$ from $3$ .

$\frac{- 1}{15}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{15}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{15}$

Decimal Form:

$- 0.0\overline{6}$