Solve 51/2div12div2/5

$$5 \frac { 1 } { 2 } \div 12 \div \frac { 2 } { 5 }$$

Evaluate

$$\frac{55}{48}\approx 1.145833333$$

Solution Steps

Divide \frac{\frac{5\times 2+1}{2}}{12} by \frac{2}{5} by multiplying \frac{\frac{5\times 2+1}{2}}{12} by the reciprocal of \frac{2}{5}.

$$\frac{\frac{5\times 2+1}{2}\times 5}{12\times 2}$$

Multiply 5 and 2 to get 10.

$$\frac{\frac{10+1}{2}\times 5}{12\times 2}$$

Add 10 and 1 to get 11.

$$\frac{\frac{11}{2}\times 5}{12\times 2}$$

Express \frac{11}{2}\times 5 as a single fraction.

$$\frac{\frac{11\times 5}{2}}{12\times 2}$$

Multiply 11 and 5 to get 55.

$$\frac{\frac{55}{2}}{12\times 2}$$

Multiply 12 and 2 to get 24.

$$\frac{\frac{55}{2}}{24}$$

Express \frac{\frac{55}{2}}{24} as a single fraction.

$$\frac{55}{2\times 24}$$

Multiply 2 and 24 to get 48.

$$\frac{55}{48}$$

Factor

$$\frac{5 \cdot 11}{2 ^ {4} \cdot 3} = 1\frac{7}{48} = 1.1458333333333333$$