Solve 7/8*11/12-3/8*12/11

$$\frac { 7 } { 8 } \times \frac { 11 } { 12 } - \frac { 3 } { 8 } \times \frac { 12 } { 11 }$$

Evaluate

$$\frac{415}{1056}\approx 0.392992424$$

Solution Steps

Multiply \frac{7}{8} times \frac{11}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 11}{8\times 12}-\frac{3}{8}\times \frac{12}{11}$$

Do the multiplications in the fraction \frac{7\times 11}{8\times 12}.

$$\frac{77}{96}-\frac{3}{8}\times \frac{12}{11}$$

Multiply \frac{3}{8} times \frac{12}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77}{96}-\frac{3\times 12}{8\times 11}$$

Do the multiplications in the fraction \frac{3\times 12}{8\times 11}.

$$\frac{77}{96}-\frac{36}{88}$$

Reduce the fraction \frac{36}{88} to lowest terms by extracting and canceling out 4.

$$\frac{77}{96}-\frac{9}{22}$$

Least common multiple of 96 and 22 is 1056. Convert \frac{77}{96} and \frac{9}{22} to fractions with denominator 1056.

$$\frac{847}{1056}-\frac{432}{1056}$$

Since \frac{847}{1056} and \frac{432}{1056} have the same denominator, subtract them by subtracting their numerators.

$$\frac{847-432}{1056}$$

Subtract 432 from 847 to get 415.

$$\frac{415}{1056}$$

Factor

$$\frac{5 \cdot 83}{2 ^ {5} \cdot 3 \cdot 11} = 0.39299242424242425$$