Solve (1-3/4):0,75+(0,5+3/8):3/8

$$( 1 - \frac { 3 } { 4 } ) : 0,75 + ( 0,5 + \frac { 3 } { 8 } ) : \frac { 3 } { 8 }$$

Evaluate

$$\frac{8}{3}\approx 2,666666667$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

$$\frac{\frac{4}{4}-\frac{3}{4}}{0,75}+\frac{0,5+\frac{3}{8}}{\frac{3}{8}}$$

Since \frac{4}{4} and \frac{3}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-3}{4}}{0,75}+\frac{0,5+\frac{3}{8}}{\frac{3}{8}}$$

Subtract 3 from 4 to get 1.

$$\frac{\frac{1}{4}}{0,75}+\frac{0,5+\frac{3}{8}}{\frac{3}{8}}$$

Express \frac{\frac{1}{4}}{0,75} as a single fraction.

$$\frac{1}{4\times 0,75}+\frac{0,5+\frac{3}{8}}{\frac{3}{8}}$$

Multiply 4 and 0,75 to get 3.

$$\frac{1}{3}+\frac{0,5+\frac{3}{8}}{\frac{3}{8}}$$

Convert decimal number 0,5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{3}+\frac{\frac{1}{2}+\frac{3}{8}}{\frac{3}{8}}$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{1}{3}+\frac{\frac{4}{8}+\frac{3}{8}}{\frac{3}{8}}$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, add them by adding their numerators.

$$\frac{1}{3}+\frac{\frac{4+3}{8}}{\frac{3}{8}}$$

Add 4 and 3 to get 7.

$$\frac{1}{3}+\frac{\frac{7}{8}}{\frac{3}{8}}$$

Divide \frac{7}{8} by \frac{3}{8} by multiplying \frac{7}{8} by the reciprocal of \frac{3}{8}.

$$\frac{1}{3}+\frac{7}{8}\times \frac{8}{3}$$

Multiply \frac{7}{8} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{3}+\frac{7\times 8}{8\times 3}$$

Cancel out 8 in both numerator and denominator.

$$\frac{1}{3}+\frac{7}{3}$$

Since \frac{1}{3} and \frac{7}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+7}{3}$$

Add 1 and 7 to get 8.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$