Solve 11/2div3{4*frac{7/2}}

$$\frac{ 11 }{ 2 \div \frac{ 3 }{ 4 \times \frac{ 7 }{ 2 } } }$$

Evaluate

$$\frac{33}{28}\approx 1.178571429$$

Solution Steps

Divide 11 by \frac{2}{\frac{3}{4\times \frac{7}{2}}} by multiplying 11 by the reciprocal of \frac{2}{\frac{3}{4\times \frac{7}{2}}}.

$$\frac{11\times \frac{3}{4\times \frac{7}{2}}}{2}$$

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

$$\frac{11\times \frac{3}{\frac{4\times 7}{2}}}{2}$$

Multiply 4 and 7 to get 28.

$$\frac{11\times \frac{3}{\frac{28}{2}}}{2}$$

Divide 28 by 2 to get 14.

$$\frac{11\times \frac{3}{14}}{2}$$

Express 11\times \frac{3}{14} as a single fraction.

$$\frac{\frac{11\times 3}{14}}{2}$$

Multiply 11 and 3 to get 33.

$$\frac{\frac{33}{14}}{2}$$

Express \frac{\frac{33}{14}}{2} as a single fraction.

$$\frac{33}{14\times 2}$$

Multiply 14 and 2 to get 28.

$$\frac{33}{28}$$

Factor

$$\frac{3 \cdot 11}{2 ^ {2} \cdot 7} = 1\frac{5}{28} = 1.1785714285714286$$