Basic Math Examples

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

Step 1

Convert

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

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Step 1.1

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

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

Step 1.2

Add

$8$ and

$\frac{5}{8}$ .

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Step 1.2.1

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{8}{8}$ .

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

Step 1.2.2

Combine

$8$ and

$\frac{8}{8}$ .

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

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$8$ by

$8$ .

$\frac{64 + 5}{8} + 4 \frac{5}{8}$

Step 1.2.4.2

Add

$64$ and

$5$ .

$\frac{69}{8} + 4 \frac{5}{8}$

Step 2

Convert

$4 \frac{5}{8}$ to an improper fraction.

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Step 2.1

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

$\frac{69}{8} + 4 + \frac{5}{8}$

Step 2.2

Add

$4$ and

$\frac{5}{8}$ .

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Step 2.2.1

To write

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

$\frac{8}{8}$ .

$\frac{69}{8} + 4 \cdot \frac{8}{8} + \frac{5}{8}$

Step 2.2.2

Combine

$4$ and

$\frac{8}{8}$ .

$\frac{69}{8} + \frac{4 \cdot 8}{8} + \frac{5}{8}$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{69}{8} + \frac{4 \cdot 8 + 5}{8}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$4$ by

$8$ .

$\frac{69}{8} + \frac{32 + 5}{8}$

Step 2.2.4.2

Add

$32$ and

$5$ .

$\frac{69}{8} + \frac{37}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{69 + 37}{8}$

Step 4

Add

$69$ and

$37$ .

$\frac{106}{8}$

Step 5

Cancel the common factor of

$106$ and

$8$ .

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Step 5.1

Factor

$2$ out of

$106$ .

$\frac{2 (53)}{8}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$2$ out of

$8$ .

$\frac{2 \cdot 53}{2 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot 53}{2 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{53}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{53}{4}$

Decimal Form:

$13.25$

Mixed Number Form:

$13 \frac{1}{4}$