Solve 11/6*7/3-11/6*4/3

$$\frac { 11 } { 6 } \times \frac { 7 } { 3 } - \frac { 11 } { 6 } \times \frac { 4 } { 3 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply \frac{11}{6} times \frac{7}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 7}{6\times 3}-\frac{11}{6}\times \frac{4}{3}$$

Do the multiplications in the fraction \frac{11\times 7}{6\times 3}.

$$\frac{77}{18}-\frac{11}{6}\times \frac{4}{3}$$

Multiply \frac{11}{6} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{77}{18}-\frac{11\times 4}{6\times 3}$$

Do the multiplications in the fraction \frac{11\times 4}{6\times 3}.

$$\frac{77}{18}-\frac{44}{18}$$

Since \frac{77}{18} and \frac{44}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{77-44}{18}$$

Subtract 44 from 77 to get 33.

$$\frac{33}{18}$$

Reduce the fraction \frac{33}{18} to lowest terms by extracting and canceling out 3.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$