Basic Math Examples

\frac{3}{4} - \frac{7}{16}

$\frac{3}{4} - \frac{7}{16}$

Step 1

To write

\frac{3}{4}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3}{4} \cdot \frac{4}{4} - \frac{7}{16}

$\frac{3}{4} \cdot \frac{4}{4} - \frac{7}{16}$

Step 2

Write each expression with a common denominator of

16

$16$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{3 \cdot 4}{4 \cdot 4} - \frac{7}{16}

$\frac{3 \cdot 4}{4 \cdot 4} - \frac{7}{16}$

Step 2.2

Multiply

4

$4$ by

4

$4$ .

\frac{3 \cdot 4}{16} - \frac{7}{16}

$\frac{3 \cdot 4}{16} - \frac{7}{16}$

\frac{3 \cdot 4}{16} - \frac{7}{16}

$\frac{3 \cdot 4}{16} - \frac{7}{16}$

Step 3

Combine the numerators over the common denominator.

\frac{3 \cdot 4 - 7}{16}

$\frac{3 \cdot 4 - 7}{16}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

4

$4$ .

\frac{12 - 7}{16}

$\frac{12 - 7}{16}$

Step 4.2

Subtract

7

$7$ from

12

$12$ .

\frac{5}{16}

$\frac{5}{16}$

\frac{5}{16}

$\frac{5}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{5}{16}

$\frac{5}{16}$

Decimal Form:

0.3125

$0.3125$