Solve 93/8*25/7-25/7*73/8=

$$9 \frac { 3 } { 8 } \cdot 2 \frac { 5 } { 7 } - 2 \frac { 5 } { 7 } \cdot 7 \frac { 3 } { 8 } =$$

Evaluate

$$\frac{38}{7}\approx 5.428571429$$

Solution Steps

Multiply 9 and 8 to get 72.

$$\frac{72+3}{8}\times \frac{2\times 7+5}{7}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Add 72 and 3 to get 75.

$$\frac{75}{8}\times \frac{2\times 7+5}{7}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Multiply 2 and 7 to get 14.

$$\frac{75}{8}\times \frac{14+5}{7}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Add 14 and 5 to get 19.

$$\frac{75}{8}\times \frac{19}{7}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Multiply \frac{75}{8} times \frac{19}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{75\times 19}{8\times 7}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Do the multiplications in the fraction \frac{75\times 19}{8\times 7}.

$$\frac{1425}{56}-\frac{2\times 7+5}{7}\times \frac{7\times 8+3}{8}$$

Multiply 2 and 7 to get 14.

$$\frac{1425}{56}-\frac{14+5}{7}\times \frac{7\times 8+3}{8}$$

Add 14 and 5 to get 19.

$$\frac{1425}{56}-\frac{19}{7}\times \frac{7\times 8+3}{8}$$

Multiply 7 and 8 to get 56.

$$\frac{1425}{56}-\frac{19}{7}\times \frac{56+3}{8}$$

Add 56 and 3 to get 59.

$$\frac{1425}{56}-\frac{19}{7}\times \frac{59}{8}$$

Multiply \frac{19}{7} times \frac{59}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1425}{56}-\frac{19\times 59}{7\times 8}$$

Do the multiplications in the fraction \frac{19\times 59}{7\times 8}.

$$\frac{1425}{56}-\frac{1121}{56}$$

Since \frac{1425}{56} and \frac{1121}{56} have the same denominator, subtract them by subtracting their numerators.

$$\frac{1425-1121}{56}$$

Subtract 1121 from 1425 to get 304.

$$\frac{304}{56}$$

Reduce the fraction \frac{304}{56} to lowest terms by extracting and canceling out 8.

$$\frac{38}{7}$$

Factor

$$\frac{2 \cdot 19}{7} = 5\frac{3}{7} = 5.428571428571429$$