Solve 31/2div2/2(3/4-1/2)

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

Evaluate

$$\frac{7}{8}=0.875$$

Solution Steps

Divide 2 by 2 to get 1.

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

Multiply 3 and 2 to get 6.

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

Add 6 and 1 to get 7.

$$\frac{\frac{7}{2}}{1}\left(\frac{3}{4}-\frac{1}{2}\right)$$

Anything divided by one gives itself.

$$\frac{7}{2}\left(\frac{3}{4}-\frac{1}{2}\right)$$

Least common multiple of 4 and 2 is 4. Convert \frac{3}{4} and \frac{1}{2} to fractions with denominator 4.

$$\frac{7}{2}\left(\frac{3}{4}-\frac{2}{4}\right)$$

Since \frac{3}{4} and \frac{2}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{2}\times \frac{3-2}{4}$$

Subtract 2 from 3 to get 1.

$$\frac{7}{2}\times \frac{1}{4}$$

Multiply \frac{7}{2} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 1}{2\times 4}$$

Do the multiplications in the fraction \frac{7\times 1}{2\times 4}.

$$\frac{7}{8}$$

Factor

$$\frac{7}{2 ^ {3}} = 0.875$$