Solve 25/6+(25/6-3/5)

$$2 \frac { 5 } { 6 } + ( 2 \frac { 5 } { 6 } - \frac { 3 } { 5 } )$$

Evaluate

$$\frac{76}{15}\approx 5.066666667$$

Solution Steps

Multiply 2 and 6 to get 12.

$$\frac{12+5}{6}+\frac{2\times 6+5}{6}-\frac{3}{5}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{2\times 6+5}{6}-\frac{3}{5}$$

Multiply 2 and 6 to get 12.

$$\frac{17}{6}+\frac{12+5}{6}-\frac{3}{5}$$

Add 12 and 5 to get 17.

$$\frac{17}{6}+\frac{17}{6}-\frac{3}{5}$$

Since \frac{17}{6} and \frac{17}{6} have the same denominator, add them by adding their numerators.

$$\frac{17+17}{6}-\frac{3}{5}$$

Add 17 and 17 to get 34.

$$\frac{34}{6}-\frac{3}{5}$$

Reduce the fraction \frac{34}{6} to lowest terms by extracting and canceling out 2.

$$\frac{17}{3}-\frac{3}{5}$$

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

$$\frac{85}{15}-\frac{9}{15}$$

Since \frac{85}{15} and \frac{9}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{85-9}{15}$$

Subtract 9 from 85 to get 76.

$$\frac{76}{15}$$

Factor

$$\frac{2 ^ {2} \cdot 19}{3 \cdot 5} = 5\frac{1}{15} = 5.066666666666666$$