Basic Math Examples

\frac{7}{16} - \frac{7}{20}

$\frac{7}{16} - \frac{7}{20}$

Step 1

To write

$\frac{7}{16}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{7}{16} \cdot \frac{5}{5} - \frac{7}{20}$

Step 2

To write

$- \frac{7}{20}$ as a fraction with a common denominator, multiply by

$\frac{4}{4}$ .

$\frac{7}{16} \cdot \frac{5}{5} - \frac{7}{20} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of

$80$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{7}{16}$ by

$\frac{5}{5}$ .

$\frac{7 \cdot 5}{16 \cdot 5} - \frac{7}{20} \cdot \frac{4}{4}$

Step 3.2

Multiply

$16$ by

$5$ .

$\frac{7 \cdot 5}{80} - \frac{7}{20} \cdot \frac{4}{4}$

Step 3.3

Multiply

$\frac{7}{20}$ by

$\frac{4}{4}$ .

$\frac{7 \cdot 5}{80} - \frac{7 \cdot 4}{20 \cdot 4}$

Step 3.4

Multiply

$20$ by

$4$ .

$\frac{7 \cdot 5}{80} - \frac{7 \cdot 4}{80}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 5 - 7 \cdot 4}{80}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$7$ by

$5$ .

$\frac{35 - 7 \cdot 4}{80}$

Step 5.2

Multiply

$- 7$ by

$4$ .

$\frac{35 - 28}{80}$

Step 5.3

Subtract

$28$ from

$35$ .

$\frac{7}{80}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{80}$

Decimal Form:

$0.0875$