Solve 31n1/2/1nfrac{3{4}}=

$$\frac { 31 n \frac { 1 } { 2 } } { 1 n \frac { 3 } { 4 } } =$$

Evaluate

$$\frac{62}{3}\approx 20.666666667$$

Solution Steps

Cancel out n in both numerator and denominator.

$$\frac{\frac{1}{2}\times 31}{\frac{3}{4}}$$

Multiply \frac{1}{2} and 31 to get \frac{31}{2}.

$$\frac{\frac{31}{2}}{\frac{3}{4}}$$

Divide \frac{31}{2} by \frac{3}{4} by multiplying \frac{31}{2} by the reciprocal of \frac{3}{4}.

$$\frac{31}{2}\times \frac{4}{3}$$

Multiply \frac{31}{2} times \frac{4}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{31\times 4}{2\times 3}$$

Do the multiplications in the fraction \frac{31\times 4}{2\times 3}.

$$\frac{124}{6}$$

Reduce the fraction \frac{124}{6} to lowest terms by extracting and canceling out 2.

$$\frac{62}{3}$$

Factor

$$\frac{2 \cdot 31}{3} = 20\frac{2}{3} = 20.666666666666668$$