Basic Math Examples

$(- 4 \frac{1}{5}) (- \frac{1}{3})$

Step 1

Convert $4 \frac{1}{5}$ to an improper fraction.

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Step 1.1

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

$- (4 + \frac{1}{5}) (- \frac{1}{3})$

Step 1.2

Add $4$ and $\frac{1}{5}$ .

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Step 1.2.1

To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- (4 \cdot \frac{5}{5} + \frac{1}{5}) (- \frac{1}{3})$

Step 1.2.2

Combine $4$ and $\frac{5}{5}$ .

$- (\frac{4 \cdot 5}{5} + \frac{1}{5}) (- \frac{1}{3})$

Step 1.2.3

Combine the numerators over the common denominator.

$- \frac{4 \cdot 5 + 1}{5} (- \frac{1}{3})$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $4$ by $5$ .

$- \frac{20 + 1}{5} (- \frac{1}{3})$

Step 1.2.4.2

Add $20$ and $1$ .

$- \frac{21}{5} (- \frac{1}{3})$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Move the leading negative in $- \frac{21}{5}$ into the numerator.

$\frac{- 21}{5} (- \frac{1}{3})$

Step 2.2

Move the leading negative in $- \frac{1}{3}$ into the numerator.

$\frac{- 21}{5} \cdot \frac{- 1}{3}$

Step 2.3

Factor $3$ out of $- 21$ .

$\frac{3 (- 7)}{5} \cdot \frac{- 1}{3}$

Step 2.4

Cancel the common factor.

$\frac{3 \cdot - 7}{5} \cdot \frac{- 1}{3}$

Step 2.5

Rewrite the expression.

$\frac{- 7}{5} \cdot - 1$

Step 3

Combine $\frac{- 7}{5}$ and $- 1$ .

$\frac{- 7 \cdot - 1}{5}$

Step 4

Multiply $- 7$ by $- 1$ .

$\frac{7}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{5}$

Decimal Form:

$1.4$

Mixed Number Form:

$1 \frac{2}{5}$