Basic Math Examples

\frac{1}{7} - \frac{1}{42}

$\frac{1}{7} - \frac{1}{42}$

Step 1

To write

\frac{1}{7}

$\frac{1}{7}$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{1}{7} \cdot \frac{6}{6} - \frac{1}{42}

$\frac{1}{7} \cdot \frac{6}{6} - \frac{1}{42}$

Step 2

Write each expression with a common denominator of

42

$42$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{7}

$\frac{1}{7}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{6}{7 \cdot 6} - \frac{1}{42}

$\frac{6}{7 \cdot 6} - \frac{1}{42}$

Step 2.2

Multiply

7

$7$ by

6

$6$ .

\frac{6}{42} - \frac{1}{42}

$\frac{6}{42} - \frac{1}{42}$

\frac{6}{42} - \frac{1}{42}

$\frac{6}{42} - \frac{1}{42}$

Step 3

Combine the numerators over the common denominator.

\frac{6 - 1}{42}

$\frac{6 - 1}{42}$

Step 4

Subtract

1

$1$ from

6

$6$ .

\frac{5}{42}

$\frac{5}{42}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{5}{42}

$\frac{5}{42}$

Decimal Form:

0.1\overline{190476}

$0.1\overline{190476}$