Solve (1/3+5/6)(8/4-3/6)=

$$( \frac { 1 } { 3 } + \frac { 5 } { 6 } ) ( \frac { 8 } { 4 } - \frac { 3 } { 6 } ) =$$

Evaluate

$$\frac{7}{4}=1.75$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{1}{3} and \frac{5}{6} to fractions with denominator 6.

$$\left(\frac{2}{6}+\frac{5}{6}\right)\left(\frac{8}{4}-\frac{3}{6}\right)$$

Since \frac{2}{6} and \frac{5}{6} have the same denominator, add them by adding their numerators.

$$\frac{2+5}{6}\left(\frac{8}{4}-\frac{3}{6}\right)$$

Add 2 and 5 to get 7.

$$\frac{7}{6}\left(\frac{8}{4}-\frac{3}{6}\right)$$

Divide 8 by 4 to get 2.

$$\frac{7}{6}\left(2-\frac{3}{6}\right)$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$\frac{7}{6}\left(2-\frac{1}{2}\right)$$

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

$$\frac{7}{6}\left(\frac{4}{2}-\frac{1}{2}\right)$$

Since \frac{4}{2} and \frac{1}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7}{6}\times \frac{4-1}{2}$$

Subtract 1 from 4 to get 3.

$$\frac{7}{6}\times \frac{3}{2}$$

Multiply \frac{7}{6} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 3}{6\times 2}$$

Do the multiplications in the fraction \frac{7\times 3}{6\times 2}.

$$\frac{21}{12}$$

Reduce the fraction \frac{21}{12} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}$$

Factor

$$\frac{7}{2 ^ {2}} = 1\frac{3}{4} = 1.75$$