Solve 3/2-21/4+1?

$$\frac { 3 } { 2 } - 2 \frac { 1 } { 4 } + 1 ?$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{3}{2}-\frac{8+1}{4}+1$$

Add 8 and 1 to get 9.

$$\frac{3}{2}-\frac{9}{4}+1$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{9}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{9}{4}+1$$

Since \frac{6}{4} and \frac{9}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-9}{4}+1$$

Subtract 9 from 6 to get -3.

$$-\frac{3}{4}+1$$

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

$$-\frac{3}{4}+\frac{4}{4}$$

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

$$\frac{-3+4}{4}$$

Add -3 and 4 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$