Solve 10-6*3/5/15*frac{4{5}}+12/5

$$\frac { 10 - 6 \times \frac { 3 } { 5 } } { 15 \times \frac { 4 } { 5 } } + \frac { 12 } { 5 }$$

Evaluate

$$\frac{44}{15}\approx 2.933333333$$

Solution Steps

Express 6\times \frac{3}{5} as a single fraction.

$$\frac{10-\frac{6\times 3}{5}}{15\times \frac{4}{5}}+\frac{12}{5}$$

Multiply 6 and 3 to get 18.

$$\frac{10-\frac{18}{5}}{15\times \frac{4}{5}}+\frac{12}{5}$$

Convert 10 to fraction \frac{50}{5}.

$$\frac{\frac{50}{5}-\frac{18}{5}}{15\times \frac{4}{5}}+\frac{12}{5}$$

Since \frac{50}{5} and \frac{18}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{50-18}{5}}{15\times \frac{4}{5}}+\frac{12}{5}$$

Subtract 18 from 50 to get 32.

$$\frac{\frac{32}{5}}{15\times \frac{4}{5}}+\frac{12}{5}$$

Express 15\times \frac{4}{5} as a single fraction.

$$\frac{\frac{32}{5}}{\frac{15\times 4}{5}}+\frac{12}{5}$$

Multiply 15 and 4 to get 60.

$$\frac{\frac{32}{5}}{\frac{60}{5}}+\frac{12}{5}$$

Divide 60 by 5 to get 12.

$$\frac{\frac{32}{5}}{12}+\frac{12}{5}$$

Express \frac{\frac{32}{5}}{12} as a single fraction.

$$\frac{32}{5\times 12}+\frac{12}{5}$$

Multiply 5 and 12 to get 60.

$$\frac{32}{60}+\frac{12}{5}$$

Reduce the fraction \frac{32}{60} to lowest terms by extracting and canceling out 4.

$$\frac{8}{15}+\frac{12}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{8}{15} and \frac{12}{5} to fractions with denominator 15.

$$\frac{8}{15}+\frac{36}{15}$$

Since \frac{8}{15} and \frac{36}{15} have the same denominator, add them by adding their numerators.

$$\frac{8+36}{15}$$

Add 8 and 36 to get 44.

$$\frac{44}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 5} = 2\frac{14}{15} = 2.933333333333333$$