Solve 6(1/4+1)-(2*1/2+3)

$$6( \frac{ 1 }{ 4 } +1)-(2 \times \frac{ 1 }{ 2 } +3)$$

Evaluate

$$\frac{7}{2}=3.5$$

Solution Steps

Convert 1 to fraction \frac{4}{4}.

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

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

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

Add 1 and 4 to get 5.

$$6\times \frac{5}{4}-\left(2\times \frac{1}{2}+3\right)$$

Express 6\times \frac{5}{4} as a single fraction.

$$\frac{6\times 5}{4}-\left(2\times \frac{1}{2}+3\right)$$

Multiply 6 and 5 to get 30.

$$\frac{30}{4}-\left(2\times \frac{1}{2}+3\right)$$

Reduce the fraction \frac{30}{4} to lowest terms by extracting and canceling out 2.

$$\frac{15}{2}-\left(2\times \frac{1}{2}+3\right)$$

Cancel out 2 and 2.

$$\frac{15}{2}-\left(1+3\right)$$

Add 1 and 3 to get 4.

$$\frac{15}{2}-4$$

Convert 4 to fraction \frac{8}{2}.

$$\frac{15}{2}-\frac{8}{2}$$

Since \frac{15}{2} and \frac{8}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{2}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{2}$$

Factor

$$\frac{7}{2} = 3\frac{1}{2} = 3.5$$