Solve 5/3*(80%+9/14div36/35)

$$\frac { 5 } { 3 } \times ( 80 \% + \frac { 9 } { 14 } \div \frac { 36 } { 35 } )$$

Evaluate

$$\frac{19}{8}=2.375$$

Solution Steps

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{5}{3}\left(\frac{4}{5}+\frac{\frac{9}{14}}{\frac{36}{35}}\right)$$

Divide \frac{9}{14} by \frac{36}{35} by multiplying \frac{9}{14} by the reciprocal of \frac{36}{35}.

$$\frac{5}{3}\left(\frac{4}{5}+\frac{9}{14}\times \frac{35}{36}\right)$$

Multiply \frac{9}{14} times \frac{35}{36} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{3}\left(\frac{4}{5}+\frac{9\times 35}{14\times 36}\right)$$

Do the multiplications in the fraction \frac{9\times 35}{14\times 36}.

$$\frac{5}{3}\left(\frac{4}{5}+\frac{315}{504}\right)$$

Reduce the fraction \frac{315}{504} to lowest terms by extracting and canceling out 63.

$$\frac{5}{3}\left(\frac{4}{5}+\frac{5}{8}\right)$$

Least common multiple of 5 and 8 is 40. Convert \frac{4}{5} and \frac{5}{8} to fractions with denominator 40.

$$\frac{5}{3}\left(\frac{32}{40}+\frac{25}{40}\right)$$

Since \frac{32}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.

$$\frac{5}{3}\times \frac{32+25}{40}$$

Add 32 and 25 to get 57.

$$\frac{5}{3}\times \frac{57}{40}$$

Multiply \frac{5}{3} times \frac{57}{40} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 57}{3\times 40}$$

Do the multiplications in the fraction \frac{5\times 57}{3\times 40}.

$$\frac{285}{120}$$

Reduce the fraction \frac{285}{120} to lowest terms by extracting and canceling out 15.

$$\frac{19}{8}$$

Factor

$$\frac{19}{2 ^ {3}} = 2\frac{3}{8} = 2.375$$