Solve (1/4+3/4)div1/2*1/4

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

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Since \frac{1}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

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

Add 1 and 3 to get 4.

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

Divide 4 by 4 to get 1.

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

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

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

Multiply 1 and 2 to get 2.

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

Multiply 2 and \frac{1}{4} to get \frac{2}{4}.

$$\frac{2}{4}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$