Basic Math Examples

\frac{1}{16} - \frac{1}{3}

$\frac{1}{16} - \frac{1}{3}$

Step 1

To write

\frac{1}{16}

$\frac{1}{16}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{3}

$\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{3}$

Step 2

To write

- \frac{1}{3}

$- \frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{16}{16}

$\frac{16}{16}$ .

\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{16}{16}

$\frac{1}{16} \cdot \frac{3}{3} - \frac{1}{3} \cdot \frac{16}{16}$

Step 3

Write each expression with a common denominator of

48

$48$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{1}{16}

$\frac{1}{16}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{3}{16 \cdot 3} - \frac{1}{3} \cdot \frac{16}{16}

$\frac{3}{16 \cdot 3} - \frac{1}{3} \cdot \frac{16}{16}$

Step 3.2

Multiply

16

$16$ by

3

$3$ .

\frac{3}{48} - \frac{1}{3} \cdot \frac{16}{16}

$\frac{3}{48} - \frac{1}{3} \cdot \frac{16}{16}$

Step 3.3

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{16}{16}

$\frac{16}{16}$ .

\frac{3}{48} - \frac{16}{3 \cdot 16}

$\frac{3}{48} - \frac{16}{3 \cdot 16}$

Step 3.4

Multiply

3

$3$ by

16

$16$ .

\frac{3}{48} - \frac{16}{48}

$\frac{3}{48} - \frac{16}{48}$

\frac{3}{48} - \frac{16}{48}

$\frac{3}{48} - \frac{16}{48}$

Step 4

Combine the numerators over the common denominator.

\frac{3 - 16}{48}

$\frac{3 - 16}{48}$

Step 5

Subtract

16

$16$ from

3

$3$ .

\frac{- 13}{48}

$\frac{- 13}{48}$

Step 6

Move the negative in front of the fraction.

- \frac{13}{48}

$- \frac{13}{48}$

Step 7

The result can be shown in multiple forms.

Exact Form:

- \frac{13}{48}

$- \frac{13}{48}$

Decimal Form:

- 0.2708\overline{3}

$- 0.2708\overline{3}$