Evaluate 1/5+20.3-(-5 3/5)

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Algebra

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

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

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

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

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

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

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

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $5$ by $5$ .

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

Add $25$ and $3$ .

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

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

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Multiply $- 1$ by $- 1$ .

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

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

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

Combine the numerators over the common denominator.

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

Add $1$ and $28$ .

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

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

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

Combine fractions.

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

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

Combine the numerators over the common denominator.

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

Simplify the numerator.

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Multiply $20.3$ by $5$ .

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

Add $101.5$ and $29$ .

$\frac{130.5}{5}$

Divide $130.5$ by $5$ .

$26.1$

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