Basic Math Examples

1 \frac{7}{8} \div 3

$1 \frac{7}{8} \div 3$

Step 1

Convert

1 \frac{7}{8}

$1 \frac{7}{8}$ to an improper fraction.

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Step 1.1

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

(1 + \frac{7}{8}) \div 3

$(1 + \frac{7}{8}) \div 3$

Step 1.2

Add

1

$1$ and

\frac{7}{8}

$\frac{7}{8}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

(\frac{8}{8} + \frac{7}{8}) \div 3

$(\frac{8}{8} + \frac{7}{8}) \div 3$

Step 1.2.2

Combine the numerators over the common denominator.

\frac{8 + 7}{8} \div 3

$\frac{8 + 7}{8} \div 3$

Step 1.2.3

Add

8

$8$ and

7

$7$ .

\frac{15}{8} \div 3

$\frac{15}{8} \div 3$

\frac{15}{8} \div 3

$\frac{15}{8} \div 3$

\frac{15}{8} \div 3

$\frac{15}{8} \div 3$

Step 2

Rewrite the division as a fraction.

\frac{\frac{15}{8}}{3}

$\frac{\frac{15}{8}}{3}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{15}{8} \cdot \frac{1}{3}

$\frac{15}{8} \cdot \frac{1}{3}$

Step 4

Cancel the common factor of

3

$3$ .

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Step 4.1

Factor

3

$3$ out of

15

$15$ .

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

$\frac{3 (5)}{8} \cdot \frac{1}{3}$

Step 4.2

Cancel the common factor.

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

Step 4.3

Rewrite the expression.

$\frac{5}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{8}$

Decimal Form:

$0.625$