Solve (0.4+7/10)*7/4div14/5

$$( 0.4 + \frac { 7 } { 10 } ) \times \frac { 7 } { 4 } \div \frac { 14 } { 5 }$$

Evaluate

$$0.6875$$

Solution Steps

Convert decimal number 0.4 to fraction \frac{4}{10}. Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\left(\frac{2}{5}+\frac{7}{10}\right)\times \frac{7}{4}}{\frac{14}{5}}$$

Least common multiple of 5 and 10 is 10. Convert \frac{2}{5} and \frac{7}{10} to fractions with denominator 10.

$$\frac{\left(\frac{4}{10}+\frac{7}{10}\right)\times \frac{7}{4}}{\frac{14}{5}}$$

Since \frac{4}{10} and \frac{7}{10} have the same denominator, add them by adding their numerators.

$$\frac{\frac{4+7}{10}\times \frac{7}{4}}{\frac{14}{5}}$$

Add 4 and 7 to get 11.

$$\frac{\frac{11}{10}\times \frac{7}{4}}{\frac{14}{5}}$$

Multiply \frac{11}{10} times \frac{7}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{11\times 7}{10\times 4}}{\frac{14}{5}}$$

Do the multiplications in the fraction \frac{11\times 7}{10\times 4}.

$$\frac{\frac{77}{40}}{\frac{14}{5}}$$

Divide \frac{77}{40} by \frac{14}{5} by multiplying \frac{77}{40} by the reciprocal of \frac{14}{5}.

$$\frac{77}{40}\times \frac{5}{14}$$

Multiply \frac{77}{40} times \frac{5}{14} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77\times 5}{40\times 14}$$

Do the multiplications in the fraction \frac{77\times 5}{40\times 14}.

$$\frac{385}{560}$$

Reduce the fraction \frac{385}{560} to lowest terms by extracting and canceling out 35.

$$\frac{11}{16}$$

Factor

$$\frac{11}{2 ^ {4}} = 0.6875$$