Basic Math Examples

\frac{5}{8} + \frac{3}{4}

$\frac{5}{8} + \frac{3}{4}$

Step 1

To write

\frac{3}{4}

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5}{8} + \frac{3}{4} \cdot \frac{2}{2}

$\frac{5}{8} + \frac{3}{4} \cdot \frac{2}{2}$

Step 2

Write each expression with a common denominator of

8

$8$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{3}{4}

$\frac{3}{4}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{5}{8} + \frac{3 \cdot 2}{4 \cdot 2}

$\frac{5}{8} + \frac{3 \cdot 2}{4 \cdot 2}$

Step 2.2

Multiply

4

$4$ by

2

$2$ .

\frac{5}{8} + \frac{3 \cdot 2}{8}

$\frac{5}{8} + \frac{3 \cdot 2}{8}$

\frac{5}{8} + \frac{3 \cdot 2}{8}

$\frac{5}{8} + \frac{3 \cdot 2}{8}$

Step 3

Combine the numerators over the common denominator.

\frac{5 + 3 \cdot 2}{8}

$\frac{5 + 3 \cdot 2}{8}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

3

$3$ by

2

$2$ .

\frac{5 + 6}{8}

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

Step 4.2

Add

5

$5$ and

6

$6$ .

\frac{11}{8}

$\frac{11}{8}$

\frac{11}{8}

$\frac{11}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{11}{8}

$\frac{11}{8}$

Decimal Form:

1.375

$1.375$

Mixed Number Form:

1 \frac{3}{8}

$1 \frac{3}{8}$