Solve 41/2div11/4*3

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

Evaluate

$$\frac{54}{5}=10.8$$

Solution Steps

Divide \frac{4\times 2+1}{2} by \frac{1\times 4+1}{4} by multiplying \frac{4\times 2+1}{2} by the reciprocal of \frac{1\times 4+1}{4}.

$$\frac{\left(4\times 2+1\right)\times 4}{2\left(1\times 4+1\right)}\times 3$$

Cancel out 2 in both numerator and denominator.

$$\frac{2\left(1+2\times 4\right)}{1+4}\times 3$$

Multiply 2 and 4 to get 8.

$$\frac{2\left(1+8\right)}{1+4}\times 3$$

Add 1 and 8 to get 9.

$$\frac{2\times 9}{1+4}\times 3$$

Multiply 2 and 9 to get 18.

$$\frac{18}{1+4}\times 3$$

Add 1 and 4 to get 5.

$$\frac{18}{5}\times 3$$

Express \frac{18}{5}\times 3 as a single fraction.

$$\frac{18\times 3}{5}$$

Multiply 18 and 3 to get 54.

$$\frac{54}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5} = 10\frac{4}{5} = 10.8$$