Basic Math Examples

$\frac{7}{8} \div 1 \frac{1}{6}$

Step 1

Convert $1 \frac{1}{6}$ to an improper fraction.

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Step 1.1

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

$\frac{7}{8} \div (1 + \frac{1}{6})$

Step 1.2

Add $1$ and $\frac{1}{6}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{7}{8} \div (\frac{6}{6} + \frac{1}{6})$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{7}{8} \div \frac{6 + 1}{6}$

Step 1.2.3

Add $6$ and $1$ .

$\frac{7}{8} \div \frac{7}{6}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$\frac{7}{8} \cdot \frac{6}{7}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7}{8} \cdot \frac{6}{7}$

Step 3.2

Rewrite the expression.

$\frac{1}{8} \cdot 6$

Step 4

Cancel the common factor of $2$ .

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Step 4.1

Factor $2$ out of $8$ .

$\frac{1}{2 (4)} \cdot 6$

Step 4.2

Factor $2$ out of $6$ .

$\frac{1}{2 \cdot 4} \cdot (2 \cdot 3)$

Step 4.3

Cancel the common factor.

$\frac{1}{2 \cdot 4} \cdot (2 \cdot 3)$

Step 4.4

Rewrite the expression.

$\frac{1}{4} \cdot 3$

Step 5

Combine $\frac{1}{4}$ and $3$ .

$\frac{3}{4}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{4}$

Decimal Form:

$0.75$