Basic Math Examples

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

Step 1

To write

$\frac{4}{7}$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

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

Step 2

To write

$\frac{5}{8}$ as a fraction with a common denominator, multiply by

$\frac{7}{7}$ .

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

Step 3

Write each expression with a common denominator of

$56$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{4}{7}$ by

$\frac{8}{8}$ .

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

Step 3.2

Multiply

$7$ by

$8$ .

$\frac{4 \cdot 8}{56} + \frac{5}{8} \cdot \frac{7}{7}$

Step 3.3

Multiply

$\frac{5}{8}$ by

$\frac{7}{7}$ .

$\frac{4 \cdot 8}{56} + \frac{5 \cdot 7}{8 \cdot 7}$

Step 3.4

Multiply

$8$ by

$7$ .

$\frac{4 \cdot 8}{56} + \frac{5 \cdot 7}{56}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 \cdot 8 + 5 \cdot 7}{56}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$4$ by

$8$ .

$\frac{32 + 5 \cdot 7}{56}$

Step 5.2

Multiply

$5$ by

$7$ .

$\frac{32 + 35}{56}$

Step 5.3

Add

$32$ and

$35$ .

$\frac{67}{56}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{67}{56}$

Decimal Form:

$1.19642857 \dots$

Mixed Number Form:

$1 \frac{11}{56}$

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

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