Solve 53/5+(-52/3)+42/5+(-3)

$$5 \frac { 3 } { 5 } + ( - 5 \frac { 2 } { 3 } ) + 4 \frac { 2 } { 5 } + ( - 3 )$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 5 and 5 to get 25.

$$\frac{25+3}{5}-\frac{5\times 3+2}{3}+\frac{4\times 5+2}{5}-3$$

Add 25 and 3 to get 28.

$$\frac{28}{5}-\frac{5\times 3+2}{3}+\frac{4\times 5+2}{5}-3$$

Multiply 5 and 3 to get 15.

$$\frac{28}{5}-\frac{15+2}{3}+\frac{4\times 5+2}{5}-3$$

Add 15 and 2 to get 17.

$$\frac{28}{5}-\frac{17}{3}+\frac{4\times 5+2}{5}-3$$

Least common multiple of 5 and 3 is 15. Convert \frac{28}{5} and \frac{17}{3} to fractions with denominator 15.

$$\frac{84}{15}-\frac{85}{15}+\frac{4\times 5+2}{5}-3$$

Since \frac{84}{15} and \frac{85}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{84-85}{15}+\frac{4\times 5+2}{5}-3$$

Subtract 85 from 84 to get -1.

$$-\frac{1}{15}+\frac{4\times 5+2}{5}-3$$

Multiply 4 and 5 to get 20.

$$-\frac{1}{15}+\frac{20+2}{5}-3$$

Add 20 and 2 to get 22.

$$-\frac{1}{15}+\frac{22}{5}-3$$

Least common multiple of 15 and 5 is 15. Convert -\frac{1}{15} and \frac{22}{5} to fractions with denominator 15.

$$-\frac{1}{15}+\frac{66}{15}-3$$

Since -\frac{1}{15} and \frac{66}{15} have the same denominator, add them by adding their numerators.

$$\frac{-1+66}{15}-3$$

Add -1 and 66 to get 65.

$$\frac{65}{15}-3$$

Reduce the fraction \frac{65}{15} to lowest terms by extracting and canceling out 5.

$$\frac{13}{3}-3$$

Convert 3 to fraction \frac{9}{3}.

$$\frac{13}{3}-\frac{9}{3}$$

Since \frac{13}{3} and \frac{9}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{13-9}{3}$$

Subtract 9 from 13 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$