Basic Math Examples

4 \frac{5}{6} + 1 \frac{1}{8}

$4 \frac{5}{6} + 1 \frac{1}{8}$

Step 1

Convert

4 \frac{5}{6}

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

Tap for more steps...

Step 1.1

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

4 + \frac{5}{6} + 1 \frac{1}{8}

$4 + \frac{5}{6} + 1 \frac{1}{8}$

Step 1.2

Add

4

$4$ and

\frac{5}{6}

$\frac{5}{6}$ .

Tap for more steps...

Step 1.2.1

To write

4

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

\frac{6}{6}

$\frac{6}{6}$ .

4 \cdot \frac{6}{6} + \frac{5}{6} + 1 \frac{1}{8}

$4 \cdot \frac{6}{6} + \frac{5}{6} + 1 \frac{1}{8}$

Step 1.2.2

Combine

4

$4$ and

\frac{6}{6}

$\frac{6}{6}$ .

\frac{4 \cdot 6}{6} + \frac{5}{6} + 1 \frac{1}{8}

$\frac{4 \cdot 6}{6} + \frac{5}{6} + 1 \frac{1}{8}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{4 \cdot 6 + 5}{6} + 1 \frac{1}{8}

$\frac{4 \cdot 6 + 5}{6} + 1 \frac{1}{8}$

Step 1.2.4

Simplify the numerator.

Tap for more steps...

Step 1.2.4.1

Multiply

4

$4$ by

6

$6$ .

\frac{24 + 5}{6} + 1 \frac{1}{8}

$\frac{24 + 5}{6} + 1 \frac{1}{8}$

Step 1.2.4.2

Add

24

$24$ and

5

$5$ .

\frac{29}{6} + 1 \frac{1}{8}

$\frac{29}{6} + 1 \frac{1}{8}$

\frac{29}{6} + 1 \frac{1}{8}

$\frac{29}{6} + 1 \frac{1}{8}$

\frac{29}{6} + 1 \frac{1}{8}

$\frac{29}{6} + 1 \frac{1}{8}$

\frac{29}{6} + 1 \frac{1}{8}

$\frac{29}{6} + 1 \frac{1}{8}$

Step 2

Convert

1 \frac{1}{8}

$1 \frac{1}{8}$ to an improper fraction.

Tap for more steps...

Step 2.1

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

\frac{29}{6} + 1 + \frac{1}{8}

$\frac{29}{6} + 1 + \frac{1}{8}$

Step 2.2

Add

1

$1$ and

\frac{1}{8}

$\frac{1}{8}$ .

Tap for more steps...

Step 2.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{29}{6} + \frac{8}{8} + \frac{1}{8}

$\frac{29}{6} + \frac{8}{8} + \frac{1}{8}$

Step 2.2.2

Combine the numerators over the common denominator.

\frac{29}{6} + \frac{8 + 1}{8}

$\frac{29}{6} + \frac{8 + 1}{8}$

Step 2.2.3

Add

8

$8$ and

1

$1$ .

\frac{29}{6} + \frac{9}{8}

$\frac{29}{6} + \frac{9}{8}$

\frac{29}{6} + \frac{9}{8}

$\frac{29}{6} + \frac{9}{8}$

\frac{29}{6} + \frac{9}{8}

$\frac{29}{6} + \frac{9}{8}$

Step 3

To write

\frac{29}{6}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{29}{6} \cdot \frac{4}{4} + \frac{9}{8}

$\frac{29}{6} \cdot \frac{4}{4} + \frac{9}{8}$

Step 4

To write

\frac{9}{8}

$\frac{9}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{29}{6} \cdot \frac{4}{4} + \frac{9}{8} \cdot \frac{3}{3}

$\frac{29}{6} \cdot \frac{4}{4} + \frac{9}{8} \cdot \frac{3}{3}$

Step 5

Write each expression with a common denominator of

24

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

1

$1$ .

Tap for more steps...

Step 5.1

Multiply

\frac{29}{6}

$\frac{29}{6}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{29 \cdot 4}{6 \cdot 4} + \frac{9}{8} \cdot \frac{3}{3}

$\frac{29 \cdot 4}{6 \cdot 4} + \frac{9}{8} \cdot \frac{3}{3}$

Step 5.2

Multiply

6

$6$ by

4

$4$ .

\frac{29 \cdot 4}{24} + \frac{9}{8} \cdot \frac{3}{3}

$\frac{29 \cdot 4}{24} + \frac{9}{8} \cdot \frac{3}{3}$

Step 5.3

Multiply

\frac{9}{8}

$\frac{9}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{8 \cdot 3}

$\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{8 \cdot 3}$

Step 5.4

Multiply

8

$8$ by

3

$3$ .

\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{24}

$\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{24}$

\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{24}

$\frac{29 \cdot 4}{24} + \frac{9 \cdot 3}{24}$

Step 6

Combine the numerators over the common denominator.

\frac{29 \cdot 4 + 9 \cdot 3}{24}

$\frac{29 \cdot 4 + 9 \cdot 3}{24}$

Step 7

Simplify the numerator.

Tap for more steps...

Step 7.1

Multiply

29

$29$ by

4

$4$ .

\frac{116 + 9 \cdot 3}{24}

$\frac{116 + 9 \cdot 3}{24}$

Step 7.2

Multiply

9

$9$ by

3

$3$ .

\frac{116 + 27}{24}

$\frac{116 + 27}{24}$

Step 7.3

Add

116

$116$ and

27

$27$ .

\frac{143}{24}

$\frac{143}{24}$

\frac{143}{24}

$\frac{143}{24}$

Step 8

The result can be shown in multiple forms.

Exact Form:

\frac{143}{24}

$\frac{143}{24}$

Decimal Form:

5.958\overline{3}

$5.958\overline{3}$

Mixed Number Form:

5 \frac{23}{24}

$5 \frac{23}{24}$