Solve 4/7*6/11-1/8*11/4

$$\frac { 4 } { 7 } \times \frac { 6 } { 11 } - \frac { 1 } { 8 } \times \frac { 11 } { 4 }$$

Evaluate

$$-\frac{79}{2464}\approx -0.032061688$$

Solution Steps

Multiply \frac{4}{7} times \frac{6}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4\times 6}{7\times 11}-\frac{1}{8}\times \frac{11}{4}$$

Do the multiplications in the fraction \frac{4\times 6}{7\times 11}.

$$\frac{24}{77}-\frac{1}{8}\times \frac{11}{4}$$

Multiply \frac{1}{8} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{24}{77}-\frac{1\times 11}{8\times 4}$$

Do the multiplications in the fraction \frac{1\times 11}{8\times 4}.

$$\frac{24}{77}-\frac{11}{32}$$

Least common multiple of 77 and 32 is 2464. Convert \frac{24}{77} and \frac{11}{32} to fractions with denominator 2464.

$$\frac{768}{2464}-\frac{847}{2464}$$

Since \frac{768}{2464} and \frac{847}{2464} have the same denominator, subtract them by subtracting their numerators.

$$\frac{768-847}{2464}$$

Subtract 847 from 768 to get -79.

$$-\frac{79}{2464}$$

Factor

$$-\frac{79}{2464} = -0.03206168831168831$$