Solve 6text{of}5/8div5/8-1/8=?

$$6 \text { of } \frac { 5 } { 8 } \div \frac { 5 } { 8 } - \frac { 1 } { 8 } = ?$$

Evaluate

$$\frac{419}{40}=10.475$$

Solution Steps

Divide \frac{6\times 8+5}{8} by \frac{5}{8} by multiplying \frac{6\times 8+5}{8} by the reciprocal of \frac{5}{8}.

$$\frac{\left(6\times 8+5\right)\times 8}{8\times 5}-\frac{1}{8}$$

Cancel out 8 in both numerator and denominator.

$$\frac{5+6\times 8}{5}-\frac{1}{8}$$

Multiply 6 and 8 to get 48.

$$\frac{5+48}{5}-\frac{1}{8}$$

Add 5 and 48 to get 53.

$$\frac{53}{5}-\frac{1}{8}$$

Least common multiple of 5 and 8 is 40. Convert \frac{53}{5} and \frac{1}{8} to fractions with denominator 40.

$$\frac{424}{40}-\frac{5}{40}$$

Since \frac{424}{40} and \frac{5}{40} have the same denominator, subtract them by subtracting their numerators.

$$\frac{424-5}{40}$$

Subtract 5 from 424 to get 419.

$$\frac{419}{40}$$

Factor

$$\frac{419}{2 ^ {3} \cdot 5} = 10\frac{19}{40} = 10.475$$