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

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

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

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

Since \frac{3}{4} and \frac{4}{4} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 3 to get -1.

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

Multiply \frac{1}{2} times -\frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{1\left(-1\right)}{2\times 4}.

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

Fraction \frac{-1}{8} can be rewritten as -\frac{1}{8} by extracting the negative sign.

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

Least common multiple of 4 and 8 is 8. Convert \frac{3}{4} and \frac{1}{8} to fractions with denominator 8.

$$\frac{6}{8}-\frac{1}{8}$$

Since \frac{6}{8} and \frac{1}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{8}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$