Solve 1/2(11/2+3/4+1/4)

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

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Multiply 1 and 2 to get 2.

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

Add 2 and 1 to get 3.

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

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{3}{4} to fractions with denominator 4.

$$\frac{1}{2}\left(\frac{6}{4}+\frac{3}{4}+\frac{1}{4}\right)$$

Since \frac{6}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\left(\frac{6+3}{4}+\frac{1}{4}\right)$$

Add 6 and 3 to get 9.

$$\frac{1}{2}\left(\frac{9}{4}+\frac{1}{4}\right)$$

Since \frac{9}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

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

Add 9 and 1 to get 10.

$$\frac{1}{2}\times \frac{10}{4}$$

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

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

Multiply \frac{1}{2} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\times 5}{2\times 2}.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$