Solve b/8+1/5-0,65=

$$\frac { b } { 8 } + \frac { 1 } { 5 } - 0,65 =$$

Evaluate

$$\frac{b}{8}-0,45$$

Short Solution Steps

Convert decimal number 0,65 to fraction \frac{65}{100}. Reduce the fraction \frac{65}{100} to lowest terms by extracting and canceling out 5.

$$\frac{b}{8}+\frac{1}{5}-\frac{13}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{1}{5} and \frac{13}{20} to fractions with denominator 20.

$$\frac{b}{8}+\frac{4}{20}-\frac{13}{20}$$

Since \frac{4}{20} and \frac{13}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{b}{8}+\frac{4-13}{20}$$

Subtract 13 from 4 to get -9.

$$\frac{b}{8}-\frac{9}{20}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 8 and 20 is 40. Multiply \frac{b}{8} times \frac{5}{5}. Multiply \frac{9}{20} times \frac{2}{2}.

$$\frac{5b}{40}-\frac{9\times 2}{40}$$

Since \frac{5b}{40} and \frac{9\times 2}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5b-9\times 2}{40}$$

Do the multiplications in 5b-9\times 2.

$$\frac{5b-18}{40}$$

Factor

$$\frac{5b-18}{40}$$