Solve 11/2:31/4:1

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

Evaluate

$$\frac{6}{13}\approx 0.461538462$$

Solution Steps

Divide \frac{1\times 2+1}{2} by \frac{3\times 4+1}{4} by multiplying \frac{1\times 2+1}{2} by the reciprocal of \frac{3\times 4+1}{4}.

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

Cancel out 2 in both numerator and denominator.

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

Add 1 and 2 to get 3.

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

Multiply 2 and 3 to get 6.

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

Multiply 3 and 4 to get 12.

$$\frac{\frac{6}{1+12}}{1}$$

Add 1 and 12 to get 13.

$$\frac{\frac{6}{13}}{1}$$

Anything divided by one gives itself.

$$\frac{6}{13}$$

Factor

$$\frac{2 \cdot 3}{13} = 0.46153846153846156$$