Solve 7/2:1/4/3=

$$\frac { \frac { 7 } { 2 } : \frac { 1 } { 4 } } { 3 } =$$

Evaluate

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

Solution Steps

Express \frac{\frac{\frac{7}{2}}{\frac{1}{4}}}{3} as a single fraction.

$$\frac{\frac{7}{2}}{\frac{1}{4}\times 3}$$

Multiply \frac{1}{4} and 3 to get \frac{3}{4}.

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

Divide \frac{7}{2} by \frac{3}{4} by multiplying \frac{7}{2} by the reciprocal of \frac{3}{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

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