Basic Math Examples

$- 8 \div 1 \frac{5}{7}$

Step 1

Convert $1 \frac{5}{7}$ to an improper fraction.

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Step 1.1

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

$- 8 \div (1 + \frac{5}{7})$

Step 1.2

Add $1$ and $\frac{5}{7}$ .

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Step 1.2.1

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

$- 8 \div (\frac{7}{7} + \frac{5}{7})$

Step 1.2.2

Combine the numerators over the common denominator.

$- 8 \div \frac{7 + 5}{7}$

Step 1.2.3

Add $7$ and $5$ .

$- 8 \div \frac{12}{7}$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- 8 (\frac{7}{12})$

Step 3

Cancel the common factor of $4$ .

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Step 3.1

Factor $4$ out of $- 8$ .

$4 (- 2) \frac{7}{12}$

Step 3.2

Factor $4$ out of $12$ .

$4 \cdot - 2 \frac{7}{4 \cdot 3}$

Step 3.3

Cancel the common factor.

$4 \cdot - 2 \frac{7}{4 \cdot 3}$

Step 3.4

Rewrite the expression.

$- 2 (\frac{7}{3})$

Step 4

Combine $- 2$ and $\frac{7}{3}$ .

$\frac{- 2 \cdot 7}{3}$

Step 5

Simplify the expression.

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Step 5.1

Multiply $- 2$ by $7$ .

$\frac{- 14}{3}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{14}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{14}{3}$

Decimal Form:

$- 4.\overline{6}$

Mixed Number Form:

$- 4 \frac{2}{3}$