Basic Math Examples

\frac{3}{4} - \frac{1}{10}

$\frac{3}{4} - \frac{1}{10}$

Step 1

To write

\frac{3}{4}

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{3}{4} \cdot \frac{5}{5} - \frac{1}{10}

$\frac{3}{4} \cdot \frac{5}{5} - \frac{1}{10}$

Step 2

To write

- \frac{1}{10}

$- \frac{1}{10}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3}{4} \cdot \frac{5}{5} - \frac{1}{10} \cdot \frac{2}{2}

$\frac{3}{4} \cdot \frac{5}{5} - \frac{1}{10} \cdot \frac{2}{2}$

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}{4}

$\frac{3}{4}$ by

\frac{5}{5}

$\frac{5}{5}$ .

\frac{3 \cdot 5}{4 \cdot 5} - \frac{1}{10} \cdot \frac{2}{2}

$\frac{3 \cdot 5}{4 \cdot 5} - \frac{1}{10} \cdot \frac{2}{2}$

Step 3.2

Multiply

4

$4$ by

5

$5$ .

\frac{3 \cdot 5}{20} - \frac{1}{10} \cdot \frac{2}{2}

$\frac{3 \cdot 5}{20} - \frac{1}{10} \cdot \frac{2}{2}$

Step 3.3

Multiply

\frac{1}{10}

$\frac{1}{10}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{3 \cdot 5}{20} - \frac{2}{10 \cdot 2}

$\frac{3 \cdot 5}{20} - \frac{2}{10 \cdot 2}$

Step 3.4

Multiply

10

$10$ by

2

$2$ .

\frac{3 \cdot 5}{20} - \frac{2}{20}

$\frac{3 \cdot 5}{20} - \frac{2}{20}$

\frac{3 \cdot 5}{20} - \frac{2}{20}

$\frac{3 \cdot 5}{20} - \frac{2}{20}$

Step 4

Combine the numerators over the common denominator.

\frac{3 \cdot 5 - 2}{20}

$\frac{3 \cdot 5 - 2}{20}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

3

$3$ by

5

$5$ .

\frac{15 - 2}{20}

$\frac{15 - 2}{20}$

Step 5.2

Subtract

2

$2$ from

15

$15$ .

\frac{13}{20}

$\frac{13}{20}$

\frac{13}{20}

$\frac{13}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{13}{20}

$\frac{13}{20}$

Decimal Form:

0.65

$0.65$