Solve 22/5-(2-7/8)

$$2 \frac { 2 } { 5 } - ( 2 - \frac { 7 } { 8 } )$$

Evaluate

$$\frac{51}{40}=1.275$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}-\left(2-\frac{7}{8}\right)$$

Add 10 and 2 to get 12.

$$\frac{12}{5}-\left(2-\frac{7}{8}\right)$$

Convert 2 to fraction \frac{16}{8}.

$$\frac{12}{5}-\left(\frac{16}{8}-\frac{7}{8}\right)$$

Since \frac{16}{8} and \frac{7}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{12}{5}-\frac{16-7}{8}$$

Subtract 7 from 16 to get 9.

$$\frac{12}{5}-\frac{9}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{12}{5} and \frac{9}{8} to fractions with denominator 40.

$$\frac{96}{40}-\frac{45}{40}$$

Since \frac{96}{40} and \frac{45}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{96-45}{40}$$

Subtract 45 from 96 to get 51.

$$\frac{51}{40}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {3} \cdot 5} = 1\frac{11}{40} = 1.275$$