Solve (8/9+11/3)*3/4

$$( \frac { 8 } { 9 } + 1 \frac { 1 } { 3 } ) \times \frac { 3 } { 4 }$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\left(\frac{8}{9}+\frac{3+1}{3}\right)\times \frac{3}{4}$$

Add 3 and 1 to get 4.

$$\left(\frac{8}{9}+\frac{4}{3}\right)\times \frac{3}{4}$$

Least common multiple of 9 and 3 is 9. Convert \frac{8}{9} and \frac{4}{3} to fractions with denominator 9.

$$\left(\frac{8}{9}+\frac{12}{9}\right)\times \frac{3}{4}$$

Since \frac{8}{9} and \frac{12}{9} have the same denominator, add them by adding their numerators.

$$\frac{8+12}{9}\times \frac{3}{4}$$

Add 8 and 12 to get 20.

$$\frac{20}{9}\times \frac{3}{4}$$

Multiply \frac{20}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{20\times 3}{9\times 4}$$

Do the multiplications in the fraction \frac{20\times 3}{9\times 4}.

$$\frac{60}{36}$$

Reduce the fraction \frac{60}{36} to lowest terms by extracting and canceling out 12.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$