Basic Math Examples

\frac{- 3}{20} - \frac{3}{5}

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

Step 1

Move the negative in front of the fraction.

- \frac{3}{20} - \frac{3}{5}

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

Step 2

To write

- \frac{3}{5}

$- \frac{3}{5}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 3

Write each expression with a common denominator of

20

$20$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{3}{5}

$\frac{3}{5}$ by

\frac{4}{4}

$\frac{4}{4}$ .

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

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

Step 3.2

Multiply

5

$5$ by

4

$4$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 3

$- 3$ by

4

$4$ .

\frac{- 3 - 12}{20}

$\frac{- 3 - 12}{20}$

Step 5.2

Subtract

12

$12$ from

- 3

$- 3$ .

\frac{- 15}{20}

$\frac{- 15}{20}$

\frac{- 15}{20}

$\frac{- 15}{20}$

Step 6

Cancel the common factor of

- 15

$- 15$ and

20

$20$ .

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Step 6.1

Factor

5

$5$ out of

- 15

$- 15$ .

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

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

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor

5

$5$ out of

20

$20$ .

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

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

Step 6.2.2

Cancel the common factor.

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

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

Step 6.2.3

Rewrite the expression.

\frac{- 3}{4}

$\frac{- 3}{4}$

\frac{- 3}{4}

$\frac{- 3}{4}$

\frac{- 3}{4}

$\frac{- 3}{4}$

Step 7

Move the negative in front of the fraction.

- \frac{3}{4}

$- \frac{3}{4}$

Step 8

The result can be shown in multiple forms.

Exact Form:

- \frac{3}{4}

$- \frac{3}{4}$

Decimal Form:

- 0.75

$- 0.75$