Basic Math Examples

5 \frac{7}{8} - 4 \frac{5}{6}

$5 \frac{7}{8} - 4 \frac{5}{6}$

Step 1

Convert

5 \frac{7}{8}

$5 \frac{7}{8}$ to an improper fraction.

Tap for more steps...

Step 1.1

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

5 + \frac{7}{8} - 4 \frac{5}{6}

$5 + \frac{7}{8} - 4 \frac{5}{6}$

Step 1.2

Add

5

$5$ and

\frac{7}{8}

$\frac{7}{8}$ .

Tap for more steps...

Step 1.2.1

To write

5

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

\frac{8}{8}

$\frac{8}{8}$ .

5 \cdot \frac{8}{8} + \frac{7}{8} - 4 \frac{5}{6}

$5 \cdot \frac{8}{8} + \frac{7}{8} - 4 \frac{5}{6}$

Step 1.2.2

Combine

5

$5$ and

\frac{8}{8}

$\frac{8}{8}$ .

\frac{5 \cdot 8}{8} + \frac{7}{8} - 4 \frac{5}{6}

$\frac{5 \cdot 8}{8} + \frac{7}{8} - 4 \frac{5}{6}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 8 + 7}{8} - 4 \frac{5}{6}

$\frac{5 \cdot 8 + 7}{8} - 4 \frac{5}{6}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

5

$5$ by

8

$8$ .

\frac{40 + 7}{8} - 4 \frac{5}{6}

$\frac{40 + 7}{8} - 4 \frac{5}{6}$

Step 1.2.4.2

Add

40

$40$ and

7

$7$ .

\frac{47}{8} - 4 \frac{5}{6}

$\frac{47}{8} - 4 \frac{5}{6}$

\frac{47}{8} - 4 \frac{5}{6}

$\frac{47}{8} - 4 \frac{5}{6}$

\frac{47}{8} - 4 \frac{5}{6}

$\frac{47}{8} - 4 \frac{5}{6}$

\frac{47}{8} - 4 \frac{5}{6}

$\frac{47}{8} - 4 \frac{5}{6}$

Step 2

Convert

4 \frac{5}{6}

$4 \frac{5}{6}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{47}{8} - (4 + \frac{5}{6})

$\frac{47}{8} - (4 + \frac{5}{6})$

Step 2.2

Add

4

$4$ and

\frac{5}{6}

$\frac{5}{6}$ .

Tap for more steps...

Step 2.2.1

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{47}{8} - (4 \cdot \frac{6}{6} + \frac{5}{6})

$\frac{47}{8} - (4 \cdot \frac{6}{6} + \frac{5}{6})$

Step 2.2.2

Combine

4

$4$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{47}{8} - (\frac{4 \cdot 6}{6} + \frac{5}{6})

$\frac{47}{8} - (\frac{4 \cdot 6}{6} + \frac{5}{6})$

Step 2.2.3

Combine the numerators over the common denominator.

\frac{47}{8} - \frac{4 \cdot 6 + 5}{6}

$\frac{47}{8} - \frac{4 \cdot 6 + 5}{6}$

Step 2.2.4

Simplify the numerator.

Tap for more steps...

Step 2.2.4.1

Multiply

4

$4$ by

6

$6$ .

\frac{47}{8} - \frac{24 + 5}{6}

$\frac{47}{8} - \frac{24 + 5}{6}$

Step 2.2.4.2

Add

24

$24$ and

5

$5$ .

\frac{47}{8} - \frac{29}{6}

$\frac{47}{8} - \frac{29}{6}$

\frac{47}{8} - \frac{29}{6}

$\frac{47}{8} - \frac{29}{6}$

\frac{47}{8} - \frac{29}{6}

$\frac{47}{8} - \frac{29}{6}$

\frac{47}{8} - \frac{29}{6}

$\frac{47}{8} - \frac{29}{6}$

Step 3

To write

\frac{47}{8}

$\frac{47}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{47}{8} \cdot \frac{3}{3} - \frac{29}{6}

$\frac{47}{8} \cdot \frac{3}{3} - \frac{29}{6}$

Step 4

To write

- \frac{29}{6}

$- \frac{29}{6}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

$\frac{47}{8} \cdot \frac{3}{3} - \frac{29}{6} \cdot \frac{4}{4}$

Step 5

Write each expression with a common denominator of

$24$ , by multiplying each by an appropriate factor of

$1$ .

Tap for more steps...

Step 5.1

Multiply

$\frac{47}{8}$ by

$\frac{3}{3}$ .

$\frac{47 \cdot 3}{8 \cdot 3} - \frac{29}{6} \cdot \frac{4}{4}$

Step 5.2

Multiply

$8$ by

$3$ .

$\frac{47 \cdot 3}{24} - \frac{29}{6} \cdot \frac{4}{4}$

Step 5.3

Multiply

$\frac{29}{6}$ by

$\frac{4}{4}$ .

$\frac{47 \cdot 3}{24} - \frac{29 \cdot 4}{6 \cdot 4}$

Step 5.4

Multiply

$6$ by

$4$ .

$\frac{47 \cdot 3}{24} - \frac{29 \cdot 4}{24}$

Step 6

Combine the numerators over the common denominator.

$\frac{47 \cdot 3 - 29 \cdot 4}{24}$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply

$47$ by

$3$ .

$\frac{141 - 29 \cdot 4}{24}$

Step 7.2

Multiply

$- 29$ by

$4$ .

$\frac{141 - 116}{24}$

Step 7.3

Subtract

$116$ from

$141$ .

$\frac{25}{24}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{24}$

Decimal Form:

$1.041\overline{6}$

Mixed Number Form:

$1 \frac{1}{24}$