Solve 2/25+0.24+2/5+0.16

$$\frac{ 2 }{ 25 } +0.24+ \frac{ 2 }{ 5 } +0.16$$

Evaluate

$$0.88$$

Solution Steps

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{2}{25}+\frac{6}{25}+\frac{2}{5}+0.16$$

Since \frac{2}{25} and \frac{6}{25} have the same denominator, add them by adding their numerators.

$$\frac{2+6}{25}+\frac{2}{5}+0.16$$

Add 2 and 6 to get 8.

$$\frac{8}{25}+\frac{2}{5}+0.16$$

Least common multiple of 25 and 5 is 25. Convert \frac{8}{25} and \frac{2}{5} to fractions with denominator 25.

$$\frac{8}{25}+\frac{10}{25}+0.16$$

Since \frac{8}{25} and \frac{10}{25} have the same denominator, add them by adding their numerators.

$$\frac{8+10}{25}+0.16$$

Add 8 and 10 to get 18.

$$\frac{18}{25}+0.16$$

Convert decimal number 0.16 to fraction \frac{16}{100}. Reduce the fraction \frac{16}{100} to lowest terms by extracting and canceling out 4.

$$\frac{18}{25}+\frac{4}{25}$$

Since \frac{18}{25} and \frac{4}{25} have the same denominator, add them by adding their numerators.

$$\frac{18+4}{25}$$

Add 18 and 4 to get 22.

$$\frac{22}{25}$$

Factor

$$\frac{2 \cdot 11}{5 ^ {2}} = 0.88$$