Basic Math Examples

$- \frac{48}{50} \div (- 1 \frac{3}{5})$

Step 1

Convert $1 \frac{3}{5}$ to an improper fraction.

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Step 1.1

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

$- \frac{48}{50} \div (- (1 + \frac{3}{5}))$

Step 1.2

Add $1$ and $\frac{3}{5}$ .

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Step 1.2.1

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

$- \frac{48}{50} \div (- (\frac{5}{5} + \frac{3}{5}))$

Step 1.2.2

Combine the numerators over the common denominator.

$- \frac{48}{50} \div (- \frac{5 + 3}{5})$

Step 1.2.3

Add $5$ and $3$ .

$- \frac{48}{50} \div (- \frac{8}{5})$

Step 2

To divide by a fraction, multiply by its reciprocal.

$- \frac{48}{50} (- \frac{5}{8})$

Step 3

Cancel the common factor of $8$ .

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Step 3.1

Move the leading negative in $- \frac{48}{50}$ into the numerator.

$\frac{- 48}{50} (- \frac{5}{8})$

Step 3.2

Move the leading negative in $- \frac{5}{8}$ into the numerator.

$\frac{- 48}{50} \cdot \frac{- 5}{8}$

Step 3.3

Factor $8$ out of $- 48$ .

$\frac{8 (- 6)}{50} \cdot \frac{- 5}{8}$

Step 3.4

Cancel the common factor.

$\frac{8 \cdot - 6}{50} \cdot \frac{- 5}{8}$

Step 3.5

Rewrite the expression.

$\frac{- 6}{50} \cdot - 5$

Step 4

Cancel the common factor of $5$ .

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Step 4.1

Factor $5$ out of $50$ .

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

Step 4.2

Factor $5$ out of $- 5$ .

$\frac{- 6}{5 \cdot 10} \cdot (5 \cdot - 1)$

Step 4.3

Cancel the common factor.

$\frac{- 6}{5 \cdot 10} \cdot (5 \cdot - 1)$

Step 4.4

Rewrite the expression.

$\frac{- 6}{10} \cdot - 1$

Step 5

Combine $\frac{- 6}{10}$ and $- 1$ .

$\frac{- 6 \cdot - 1}{10}$

Step 6

Multiply $- 6$ by $- 1$ .

$\frac{6}{10}$

Step 7

Cancel the common factor of $6$ and $10$ .

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Step 7.1

Factor $2$ out of $6$ .

$\frac{2 (3)}{10}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 3}{2 \cdot 5}$

Step 7.2.2

Cancel the common factor.

$\frac{2 \cdot 3}{2 \cdot 5}$

Step 7.2.3

Rewrite the expression.

$\frac{3}{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{5}$

Decimal Form:

$0.6$