Solve 3/4div1/6*51/2=

$$\frac { 3 } { 4 } \div \frac { 1 } { 6 } \times 5 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{99}{4}=24.75$$

Solution Steps

Divide \frac{3}{4} by \frac{1}{6} by multiplying \frac{3}{4} by the reciprocal of \frac{1}{6}.

$$\frac{3}{4}\times 6\times \frac{5\times 2+1}{2}$$

Express \frac{3}{4}\times 6 as a single fraction.

$$\frac{3\times 6}{4}\times \frac{5\times 2+1}{2}$$

Multiply 3 and 6 to get 18.

$$\frac{18}{4}\times \frac{5\times 2+1}{2}$$

Reduce the fraction \frac{18}{4} to lowest terms by extracting and canceling out 2.

$$\frac{9}{2}\times \frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{9}{2}\times \frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{9}{2}\times \frac{11}{2}$$

Multiply \frac{9}{2} times \frac{11}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{9\times 11}{2\times 2}$$

Do the multiplications in the fraction \frac{9\times 11}{2\times 2}.

$$\frac{99}{4}$$

Factor

$$\frac{3 ^ {2} \cdot 11}{2 ^ {2}} = 24\frac{3}{4} = 24.75$$