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

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

Evaluate

$$\frac{215}{352}\approx 0.610795455$$

Solution Steps

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

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

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

$$\frac{84}{88}-\frac{3}{8}\times \frac{11}{12}$$

Reduce the fraction \frac{84}{88} to lowest terms by extracting and canceling out 4.

$$\frac{21}{22}-\frac{3}{8}\times \frac{11}{12}$$

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

$$\frac{21}{22}-\frac{3\times 11}{8\times 12}$$

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

$$\frac{21}{22}-\frac{33}{96}$$

Reduce the fraction \frac{33}{96} to lowest terms by extracting and canceling out 3.

$$\frac{21}{22}-\frac{11}{32}$$

Least common multiple of 22 and 32 is 352. Convert \frac{21}{22} and \frac{11}{32} to fractions with denominator 352.

$$\frac{336}{352}-\frac{121}{352}$$

Since \frac{336}{352} and \frac{121}{352} have the same denominator, subtract them by subtracting their numerators.

$$\frac{336-121}{352}$$

Subtract 121 from 336 to get 215.

$$\frac{215}{352}$$

Factor

$$\frac{5 \cdot 43}{2 ^ {5} \cdot 11} = 0.6107954545454546$$