Solve |1/2:31/4:1

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

Evaluate

$$\frac{2}{13}\approx 0.153846154$$

Solution Steps

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

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

Multiply 3 and 4 to get 12.

$$|\frac{\frac{4}{2\left(12+1\right)}}{1}|$$

Add 12 and 1 to get 13.

$$|\frac{\frac{4}{2\times 13}}{1}|$$

Multiply 2 and 13 to get 26.

$$|\frac{\frac{4}{26}}{1}|$$

Reduce the fraction \frac{4}{26} to lowest terms by extracting and canceling out 2.

$$|\frac{\frac{2}{13}}{1}|$$

Anything divided by one gives itself.

$$|\frac{2}{13}|$$

The absolute value of a real number a is a when a\geq 0, or -a when a<0. The absolute value of \frac{2}{13} is \frac{2}{13}.

$$\frac{2}{13}$$

Factor

$$\frac{2}{13} = 0.15384615384615385$$