Solve 1/7text{of}(63/8-1/4)

$$\frac { 1 } { 7 } \text { of } ( 6 \frac { 3 } { 8 } - \frac { 1 } { 4 } )$$

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Multiply 6 and 8 to get 48.

$$\frac{1}{7}\left(\frac{48+3}{8}-\frac{1}{4}\right)$$

Add 48 and 3 to get 51.

$$\frac{1}{7}\left(\frac{51}{8}-\frac{1}{4}\right)$$

Least common multiple of 8 and 4 is 8. Convert \frac{51}{8} and \frac{1}{4} to fractions with denominator 8.

$$\frac{1}{7}\left(\frac{51}{8}-\frac{2}{8}\right)$$

Since \frac{51}{8} and \frac{2}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1}{7}\times \frac{51-2}{8}$$

Subtract 2 from 51 to get 49.

$$\frac{1}{7}\times \frac{49}{8}$$

Multiply \frac{1}{7} times \frac{49}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 49}{7\times 8}$$

Do the multiplications in the fraction \frac{1\times 49}{7\times 8}.

$$\frac{49}{56}$$

Reduce the fraction \frac{49}{56} to lowest terms by extracting and canceling out 7.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$