Solve 31/2*11/3

$$3 \frac { 1 } { 2 } \times 1 \frac { 1 } { 3 }$$

Evaluate

$$\frac{14}{3}\approx 4.666666667$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}\times \frac{1\times 3+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}\times \frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{7}{2}\times \frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{7}{2}\times \frac{4}{3}$$

Multiply \frac{7}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{7\times 4}{2\times 3}.

$$\frac{28}{6}$$

Reduce the fraction \frac{28}{6} to lowest terms by extracting and canceling out 2.

$$\frac{14}{3}$$

Factor

$$\frac{2 \cdot 7}{3} = 4\frac{2}{3} = 4.666666666666667$$