Basic Math Examples

$- 10 \div (- 6 \frac{5}{8})$

Step 1

Convert $6 \frac{5}{8}$ to an improper fraction.

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Step 1.1

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

$- 10 \div (- (6 + \frac{5}{8}))$

Step 1.2

Add $6$ and $\frac{5}{8}$ .

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Step 1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- 10 \div (- (6 \cdot \frac{8}{8} + \frac{5}{8}))$

Step 1.2.2

Combine $6$ and $\frac{8}{8}$ .

$- 10 \div (- (\frac{6 \cdot 8}{8} + \frac{5}{8}))$

Step 1.2.3

Combine the numerators over the common denominator.

$- 10 \div (- \frac{6 \cdot 8 + 5}{8})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $6$ by $8$ .

$- 10 \div (- \frac{48 + 5}{8})$

Step 1.2.4.2

Add $48$ and $5$ .

$- 10 \div (- \frac{53}{8})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- 10 (- \frac{8}{53})$

Step 3

Multiply $- 10 (- \frac{8}{53})$ .

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Step 3.1

Multiply $- 1$ by $- 10$ .

$10 (\frac{8}{53})$

Step 3.2

Combine $10$ and $\frac{8}{53}$ .

$\frac{10 \cdot 8}{53}$

Step 3.3

Multiply $10$ by $8$ .

$\frac{80}{53}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{80}{53}$

Decimal Form:

$1.50943396 \dots$

Mixed Number Form:

$1 \frac{27}{53}$