Basic Math Examples

$\frac{\frac{3}{10}}{1 - \frac{5}{3}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{10} \cdot \frac{1}{1 - \frac{5}{3}}$

Step 2

Simplify the denominator.

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Step 2.1

Write $1$ as a fraction with a common denominator.

$\frac{3}{10} \cdot \frac{1}{\frac{3}{3} - \frac{5}{3}}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{3}{10} \cdot \frac{1}{\frac{3 - 5}{3}}$

Step 2.3

Subtract $5$ from $3$ .

$\frac{3}{10} \cdot \frac{1}{\frac{- 2}{3}}$

Step 2.4

Move the negative in front of the fraction.

$\frac{3}{10} \cdot \frac{1}{- \frac{2}{3}}$

Step 3

Cancel the common factor of $1$ and $- 1$ .

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Step 3.1

Rewrite $1$ as $- 1 (- 1)$ .

$\frac{3}{10} \cdot \frac{- 1 (- 1)}{- \frac{2}{3}}$

Step 3.2

Move the negative in front of the fraction.

$\frac{3}{10} (- \frac{1}{\frac{2}{3}})$

Step 4

Multiply the numerator by the reciprocal of the denominator.

$\frac{3}{10} (- (1 (\frac{3}{2})))$

Step 5

Multiply $\frac{3}{2}$ by $1$ .

$\frac{3}{10} (- \frac{3}{2})$

Step 6

Multiply $\frac{3}{10} (- \frac{3}{2})$ .

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Step 6.1

Multiply $\frac{3}{10}$ by $\frac{3}{2}$ .

$- \frac{3 \cdot 3}{10 \cdot 2}$

Step 6.2

Multiply $3$ by $3$ .

$- \frac{9}{10 \cdot 2}$

Step 6.3

Multiply $10$ by $2$ .

$- \frac{9}{20}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{20}$

Decimal Form:

$- 0.45$