Basic Math Examples

14 - 5 \frac{3}{7}

$14 - 5 \frac{3}{7}$

Step 1

Convert

5 \frac{3}{7}

$5 \frac{3}{7}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

14 - (5 + \frac{3}{7})

$14 - (5 + \frac{3}{7})$

Step 1.2

Add

5

$5$ and

\frac{3}{7}

$\frac{3}{7}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

14 - (5 \cdot \frac{7}{7} + \frac{3}{7})

$14 - (5 \cdot \frac{7}{7} + \frac{3}{7})$

Step 1.2.2

Combine

5

$5$ and

\frac{7}{7}

$\frac{7}{7}$ .

14 - (\frac{5 \cdot 7}{7} + \frac{3}{7})

$14 - (\frac{5 \cdot 7}{7} + \frac{3}{7})$

Step 1.2.3

Combine the numerators over the common denominator.

14 - \frac{5 \cdot 7 + 3}{7}

$14 - \frac{5 \cdot 7 + 3}{7}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

7

$7$ .

14 - \frac{35 + 3}{7}

$14 - \frac{35 + 3}{7}$

Step 1.2.4.2

Add

35

$35$ and

3

$3$ .

14 - \frac{38}{7}

$14 - \frac{38}{7}$

14 - \frac{38}{7}

$14 - \frac{38}{7}$

14 - \frac{38}{7}

$14 - \frac{38}{7}$

14 - \frac{38}{7}

$14 - \frac{38}{7}$

Step 2

To write

14

$14$ as a fraction with a common denominator, multiply by

\frac{7}{7}

$\frac{7}{7}$ .

14 \cdot \frac{7}{7} - \frac{38}{7}

$14 \cdot \frac{7}{7} - \frac{38}{7}$

Step 3

Combine

14

$14$ and

\frac{7}{7}

$\frac{7}{7}$ .

\frac{14 \cdot 7}{7} - \frac{38}{7}

$\frac{14 \cdot 7}{7} - \frac{38}{7}$

Step 4

Combine the numerators over the common denominator.

\frac{14 \cdot 7 - 38}{7}

$\frac{14 \cdot 7 - 38}{7}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

14

$14$ by

7

$7$ .

\frac{98 - 38}{7}

$\frac{98 - 38}{7}$

Step 5.2

Subtract

38

$38$ from

98

$98$ .

\frac{60}{7}

$\frac{60}{7}$

\frac{60}{7}

$\frac{60}{7}$