Solve (0.2-3/4)div(1/2*3/8)/0,6=

$$\frac { ( 0.2 - \frac { 3 } { 4 } ) \div ( \frac { 1 } { 2 } \cdot \frac { 3 } { 8 } ) } { 0,6 } =$$

Evaluate

$$-\frac{44}{9}\approx -4.888888889$$

Solution Steps

Express \frac{\frac{0.2-\frac{3}{4}}{\frac{1}{2}\times \frac{3}{8}}}{0.6} as a single fraction.

$$\frac{0.2-\frac{3}{4}}{\frac{1}{2}\times \frac{3}{8}\times 0.6}$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{5}-\frac{3}{4}}{\frac{1}{2}\times \frac{3}{8}\times 0.6}$$

Least common multiple of 5 and 4 is 20. Convert \frac{1}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{\frac{4}{20}-\frac{15}{20}}{\frac{1}{2}\times \frac{3}{8}\times 0.6}$$

Since \frac{4}{20} and \frac{15}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{4-15}{20}}{\frac{1}{2}\times \frac{3}{8}\times 0.6}$$

Subtract 15 from 4 to get -11.

$$\frac{-\frac{11}{20}}{\frac{1}{2}\times \frac{3}{8}\times 0.6}$$

Multiply \frac{1}{2} times \frac{3}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{11}{20}}{\frac{1\times 3}{2\times 8}\times 0.6}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 8}.

$$\frac{-\frac{11}{20}}{\frac{3}{16}\times 0.6}$$

Convert decimal number 0.6 to fraction \frac{6}{10}. Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{11}{20}}{\frac{3}{16}\times \frac{3}{5}}$$

Multiply \frac{3}{16} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{11}{20}}{\frac{3\times 3}{16\times 5}}$$

Do the multiplications in the fraction \frac{3\times 3}{16\times 5}.

$$\frac{-\frac{11}{20}}{\frac{9}{80}}$$

Divide -\frac{11}{20} by \frac{9}{80} by multiplying -\frac{11}{20} by the reciprocal of \frac{9}{80}.

$$-\frac{11}{20}\times \frac{80}{9}$$

Multiply -\frac{11}{20} times \frac{80}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-11\times 80}{20\times 9}$$

Do the multiplications in the fraction \frac{-11\times 80}{20\times 9}.

$$\frac{-880}{180}$$

Reduce the fraction \frac{-880}{180} to lowest terms by extracting and canceling out 20.

$$-\frac{44}{9}$$

Factor

$$-\frac{44}{9} = -4\frac{8}{9} = -4.888888888888889$$