Solve 4(3/4+2/8)*(10/15+1/6)

$$4 ( \frac { 3 } { 4 } + \frac { 2 } { 8 } ) \times ( \frac { 10 } { 15 } + \frac { 1 } { 6 } )$$

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Reduce the fraction \frac{2}{8} to lowest terms by extracting and canceling out 2.

$$4\left(\frac{3}{4}+\frac{1}{4}\right)\left(\frac{10}{15}+\frac{1}{6}\right)$$

Since \frac{3}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$4\times \frac{3+1}{4}\left(\frac{10}{15}+\frac{1}{6}\right)$$

Add 3 and 1 to get 4.

$$4\times \frac{4}{4}\left(\frac{10}{15}+\frac{1}{6}\right)$$

Divide 4 by 4 to get 1.

$$4\times 1\left(\frac{10}{15}+\frac{1}{6}\right)$$

Multiply 4 and 1 to get 4.

$$4\left(\frac{10}{15}+\frac{1}{6}\right)$$

Reduce the fraction \frac{10}{15} to lowest terms by extracting and canceling out 5.

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

Least common multiple of 3 and 6 is 6. Convert \frac{2}{3} and \frac{1}{6} to fractions with denominator 6.

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

Since \frac{4}{6} and \frac{1}{6} have the same denominator, add them by adding their numerators.

$$4\times \frac{4+1}{6}$$

Add 4 and 1 to get 5.

$$4\times \frac{5}{6}$$

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

$$\frac{4\times 5}{6}$$

Multiply 4 and 5 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$