Algebra Examples

$\frac{1}{5} + 20.3 - (- 5 \frac{3}{5})$

Step 1

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

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Step 1.1

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

$\frac{1}{5} + 20.3 - - (5 + \frac{3}{5})$

Step 1.2

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

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Step 1.2.1

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

$\frac{1}{5} + 20.3 - - (5 \cdot \frac{5}{5} + \frac{3}{5})$

Step 1.2.2

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

$\frac{1}{5} + 20.3 - - (\frac{5 \cdot 5}{5} + \frac{3}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{1}{5} + 20.3 - - \frac{5 \cdot 5 + 3}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $5$ by $5$ .

$\frac{1}{5} + 20.3 - - \frac{25 + 3}{5}$

Step 1.2.4.2

Add $25$ and $3$ .

$\frac{1}{5} + 20.3 - - \frac{28}{5}$

Step 2

Multiply $- - \frac{28}{5}$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$\frac{1}{5} + 20.3 + 1 (\frac{28}{5})$

Step 2.2

Multiply $\frac{28}{5}$ by $1$ .

$\frac{1}{5} + 20.3 + \frac{28}{5}$

Step 3

Combine the numerators over the common denominator.

$20.3 + \frac{1 + 28}{5}$

Step 4

Add $1$ and $28$ .

$20.3 + \frac{29}{5}$

Step 5

To write $20.3$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$20.3 \cdot \frac{5}{5} + \frac{29}{5}$

Step 6

Combine fractions.

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Step 6.1

Combine $20.3$ and $\frac{5}{5}$ .

$\frac{20.3 \cdot 5}{5} + \frac{29}{5}$

Step 6.2

Combine the numerators over the common denominator.

$\frac{20.3 \cdot 5 + 29}{5}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply $20.3$ by $5$ .

$\frac{101.5 + 29}{5}$

Step 7.2

Add $101.5$ and $29$ .

$\frac{130.5}{5}$

Step 8

Divide $130.5$ by $5$ .

$26.1$