Solve 94/5div(4-2/3)+(12/3+8/15)*0.75

$$9 \frac { 4 } { 5 } \div ( 4 - \frac { 2 } { 3 } ) + ( 1 \frac { 2 } { 3 } + \frac { 8 } { 15 } ) \times 0.75$$

Evaluate

$$4.59$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{\frac{45+4}{5}}{4-\frac{2}{3}}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Add 45 and 4 to get 49.

$$\frac{\frac{49}{5}}{4-\frac{2}{3}}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Convert 4 to fraction \frac{12}{3}.

$$\frac{\frac{49}{5}}{\frac{12}{3}-\frac{2}{3}}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Since \frac{12}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{49}{5}}{\frac{12-2}{3}}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Subtract 2 from 12 to get 10.

$$\frac{\frac{49}{5}}{\frac{10}{3}}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Divide \frac{49}{5} by \frac{10}{3} by multiplying \frac{49}{5} by the reciprocal of \frac{10}{3}.

$$\frac{49}{5}\times \frac{3}{10}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Multiply \frac{49}{5} times \frac{3}{10} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 3}{5\times 10}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Do the multiplications in the fraction \frac{49\times 3}{5\times 10}.

$$\frac{147}{50}+\left(\frac{1\times 3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Multiply 1 and 3 to get 3.

$$\frac{147}{50}+\left(\frac{3+2}{3}+\frac{8}{15}\right)\times 0.75$$

Add 3 and 2 to get 5.

$$\frac{147}{50}+\left(\frac{5}{3}+\frac{8}{15}\right)\times 0.75$$

Least common multiple of 3 and 15 is 15. Convert \frac{5}{3} and \frac{8}{15} to fractions with denominator 15.

$$\frac{147}{50}+\left(\frac{25}{15}+\frac{8}{15}\right)\times 0.75$$

Since \frac{25}{15} and \frac{8}{15} have the same denominator, add them by adding their numerators.

$$\frac{147}{50}+\frac{25+8}{15}\times 0.75$$

Add 25 and 8 to get 33.

$$\frac{147}{50}+\frac{33}{15}\times 0.75$$

Reduce the fraction \frac{33}{15} to lowest terms by extracting and canceling out 3.

$$\frac{147}{50}+\frac{11}{5}\times 0.75$$

Convert decimal number 0.75 to fraction \frac{75}{100}. Reduce the fraction \frac{75}{100} to lowest terms by extracting and canceling out 25.

$$\frac{147}{50}+\frac{11}{5}\times \frac{3}{4}$$

Multiply \frac{11}{5} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{147}{50}+\frac{11\times 3}{5\times 4}$$

Do the multiplications in the fraction \frac{11\times 3}{5\times 4}.

$$\frac{147}{50}+\frac{33}{20}$$

Least common multiple of 50 and 20 is 100. Convert \frac{147}{50} and \frac{33}{20} to fractions with denominator 100.

$$\frac{294}{100}+\frac{165}{100}$$

Since \frac{294}{100} and \frac{165}{100} have the same denominator, add them by adding their numerators.

$$\frac{294+165}{100}$$

Add 294 and 165 to get 459.

$$\frac{459}{100}$$

Factor

$$\frac{17 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {2}} = 4\frac{59}{100} = 4.59$$