Basic Math Examples

$\frac{3}{5} - \frac{1}{3} \cdot \frac{6}{5}$

Step 1

Simplify each term.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{3}{5} + \frac{- 1}{3} \cdot \frac{6}{5}$

Step 1.1.2

Factor $3$ out of $6$ .

$\frac{3}{5} + \frac{- 1}{3} \cdot \frac{3 (2)}{5}$

Step 1.1.3

Cancel the common factor.

$\frac{3}{5} + \frac{- 1}{3} \cdot \frac{3 \cdot 2}{5}$

Step 1.1.4

Rewrite the expression.

$\frac{3}{5} - 1 \cdot \frac{2}{5}$

Step 1.2

Rewrite $- 1 (\frac{2}{5})$ as $- (\frac{2}{5})$ .

$\frac{3}{5} - \frac{2}{5}$

Step 2

Combine fractions.

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Step 2.1

Combine the numerators over the common denominator.

$\frac{3 - 2}{5}$

Step 2.2

Subtract $2$ from $3$ .

$\frac{1}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{5}$

Decimal Form:

$0.2$