Solve 5*2/3+7.5div3/4

$$5 \times \frac { 2 } { 3 } + 7.5 \div \frac { 3 } { 4 }$$

Evaluate

$$\frac{40}{3}\approx 13.333333333$$

Solution Steps

Express 5\times \frac{2}{3} as a single fraction.

$$\frac{5\times 2}{3}+\frac{7.5}{\frac{3}{4}}$$

Multiply 5 and 2 to get 10.

$$\frac{10}{3}+\frac{7.5}{\frac{3}{4}}$$

Divide 7.5 by \frac{3}{4} by multiplying 7.5 by the reciprocal of \frac{3}{4}.

$$\frac{10}{3}+7.5\times \frac{4}{3}$$

Convert decimal number 7.5 to fraction \frac{75}{10}. Reduce the fraction \frac{75}{10} to lowest terms by extracting and canceling out 5.

$$\frac{10}{3}+\frac{15}{2}\times \frac{4}{3}$$

Multiply \frac{15}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10}{3}+\frac{15\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{15\times 4}{2\times 3}.

$$\frac{10}{3}+\frac{60}{6}$$

Divide 60 by 6 to get 10.

$$\frac{10}{3}+10$$

Convert 10 to fraction \frac{30}{3}.

$$\frac{10}{3}+\frac{30}{3}$$

Since \frac{10}{3} and \frac{30}{3} have the same denominator, add them by adding their numerators.

$$\frac{10+30}{3}$$

Add 10 and 30 to get 40.

$$\frac{40}{3}$$

Factor

$$\frac{5 \cdot 2 ^ {3}}{3} = 13\frac{1}{3} = 13.333333333333334$$