Solve 36/5+65/8*94/3

$$3 \frac { 6 } { 5 } + 6 \frac { 5 } { 8 } \times 9 \frac { 4 } { 3 }$$

Evaluate

$$\frac{8719}{120}\approx 72.658333333$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+6}{5}+\frac{6\times 8+5}{8}\times \frac{9\times 3+4}{3}$$

Add 15 and 6 to get 21.

$$\frac{21}{5}+\frac{6\times 8+5}{8}\times \frac{9\times 3+4}{3}$$

Multiply 6 and 8 to get 48.

$$\frac{21}{5}+\frac{48+5}{8}\times \frac{9\times 3+4}{3}$$

Add 48 and 5 to get 53.

$$\frac{21}{5}+\frac{53}{8}\times \frac{9\times 3+4}{3}$$

Multiply 9 and 3 to get 27.

$$\frac{21}{5}+\frac{53}{8}\times \frac{27+4}{3}$$

Add 27 and 4 to get 31.

$$\frac{21}{5}+\frac{53}{8}\times \frac{31}{3}$$

Multiply \frac{53}{8} times \frac{31}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21}{5}+\frac{53\times 31}{8\times 3}$$

Do the multiplications in the fraction \frac{53\times 31}{8\times 3}.

$$\frac{21}{5}+\frac{1643}{24}$$

Least common multiple of 5 and 24 is 120. Convert \frac{21}{5} and \frac{1643}{24} to fractions with denominator 120.

$$\frac{504}{120}+\frac{8215}{120}$$

Since \frac{504}{120} and \frac{8215}{120} have the same denominator, add them by adding their numerators.

$$\frac{504+8215}{120}$$

Add 504 and 8215 to get 8719.

$$\frac{8719}{120}$$

Factor

$$\frac{8719}{2 ^ {3} \cdot 3 \cdot 5} = 72\frac{79}{120} = 72.65833333333333$$