Basic Math Examples

\frac{1}{4} - \frac{3}{20}

$\frac{1}{4} - \frac{3}{20}$

Step 1

To write

\frac{1}{4}

$\frac{1}{4}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{1}{4} \cdot \frac{5}{5} - \frac{3}{20}

$\frac{1}{4} \cdot \frac{5}{5} - \frac{3}{20}$

Step 2

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 2.1

Multiply

\frac{1}{4}

$\frac{1}{4}$ by

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 2.2

Multiply

4

$4$ by

5

$5$ .

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

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

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

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

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

\frac{5 - 3}{20}

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

Step 3.2

Subtract

3

$3$ from

5

$5$ .

\frac{2}{20}

$\frac{2}{20}$

\frac{2}{20}

$\frac{2}{20}$

Step 4

Cancel the common factor of

2

$2$ and

20

$20$ .

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Step 4.1

Factor

2

$2$ out of

2

$2$ .

\frac{2 (1)}{20}

$\frac{2 (1)}{20}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor

2

$2$ out of

20

$20$ .

\frac{2 \cdot 1}{2 \cdot 10}

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

Step 4.2.2

Cancel the common factor.

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

Step 4.2.3

Rewrite the expression.

$\frac{1}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$