Basic Math Examples

\frac{5}{14} - \frac{2}{221}

$\frac{5}{14} - \frac{2}{221}$

Step 1

To write

\frac{5}{14}

$\frac{5}{14}$ as a fraction with a common denominator, multiply by

\frac{221}{221}

$\frac{221}{221}$ .

\frac{5}{14} \cdot \frac{221}{221} - \frac{2}{221}

$\frac{5}{14} \cdot \frac{221}{221} - \frac{2}{221}$

Step 2

To write

- \frac{2}{221}

$- \frac{2}{221}$ as a fraction with a common denominator, multiply by

\frac{14}{14}

$\frac{14}{14}$ .

\frac{5}{14} \cdot \frac{221}{221} - \frac{2}{221} \cdot \frac{14}{14}

$\frac{5}{14} \cdot \frac{221}{221} - \frac{2}{221} \cdot \frac{14}{14}$

Step 3

Write each expression with a common denominator of

3094

$3094$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{5}{14}

$\frac{5}{14}$ by

\frac{221}{221}

$\frac{221}{221}$ .

\frac{5 \cdot 221}{14 \cdot 221} - \frac{2}{221} \cdot \frac{14}{14}

$\frac{5 \cdot 221}{14 \cdot 221} - \frac{2}{221} \cdot \frac{14}{14}$

Step 3.2

Multiply

14

$14$ by

221

$221$ .

\frac{5 \cdot 221}{3094} - \frac{2}{221} \cdot \frac{14}{14}

$\frac{5 \cdot 221}{3094} - \frac{2}{221} \cdot \frac{14}{14}$

Step 3.3

Multiply

\frac{2}{221}

$\frac{2}{221}$ by

\frac{14}{14}

$\frac{14}{14}$ .

\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{221 \cdot 14}

$\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{221 \cdot 14}$

Step 3.4

Multiply

221

$221$ by

14

$14$ .

\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{3094}

$\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{3094}$

\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{3094}

$\frac{5 \cdot 221}{3094} - \frac{2 \cdot 14}{3094}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 221 - 2 \cdot 14}{3094}

$\frac{5 \cdot 221 - 2 \cdot 14}{3094}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

221

$221$ .

\frac{1105 - 2 \cdot 14}{3094}

$\frac{1105 - 2 \cdot 14}{3094}$

Step 5.2

Multiply

- 2

$- 2$ by

14

$14$ .

\frac{1105 - 28}{3094}

$\frac{1105 - 28}{3094}$

Step 5.3

Subtract

28

$28$ from

1105

$1105$ .

\frac{1077}{3094}

$\frac{1077}{3094}$

\frac{1077}{3094}

$\frac{1077}{3094}$