Basic Math Examples

\frac{5}{6} + \frac{1}{3} \cdot \frac{5}{8}

$\frac{5}{6} + \frac{1}{3} \cdot \frac{5}{8}$

Step 1

Multiply

\frac{1}{3} \cdot \frac{5}{8}

$\frac{1}{3} \cdot \frac{5}{8}$ .

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Step 1.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{5}{8}

$\frac{5}{8}$ .

\frac{5}{6} + \frac{5}{3 \cdot 8}

$\frac{5}{6} + \frac{5}{3 \cdot 8}$

Step 1.2

Multiply

3

$3$ by

8

$8$ .

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

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

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

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

Step 2

To write

\frac{5}{6}

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5}{6} \cdot \frac{4}{4} + \frac{5}{24}

$\frac{5}{6} \cdot \frac{4}{4} + \frac{5}{24}$

Step 3

Write each expression with a common denominator of

24

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

1

$1$ .

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Step 3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5 \cdot 4}{6 \cdot 4} + \frac{5}{24}

$\frac{5 \cdot 4}{6 \cdot 4} + \frac{5}{24}$

Step 3.2

Multiply

6

$6$ by

4

$4$ .

\frac{5 \cdot 4}{24} + \frac{5}{24}

$\frac{5 \cdot 4}{24} + \frac{5}{24}$

\frac{5 \cdot 4}{24} + \frac{5}{24}

$\frac{5 \cdot 4}{24} + \frac{5}{24}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 4 + 5}{24}

$\frac{5 \cdot 4 + 5}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

4

$4$ .

\frac{20 + 5}{24}

$\frac{20 + 5}{24}$

Step 5.2

Add

20

$20$ and

5

$5$ .

\frac{25}{24}

$\frac{25}{24}$

\frac{25}{24}

$\frac{25}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{25}{24}

$\frac{25}{24}$

Decimal Form:

1.041\overline{6}

$1.041\overline{6}$

Mixed Number Form:

1 \frac{1}{24}

$1 \frac{1}{24}$