Solve (8/9-1/3)*3/4=

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

Evaluate

$$\frac{5}{12}\approx 0.416666667$$

Solution Steps

Least common multiple of 9 and 3 is 9. Convert \frac{8}{9} and \frac{1}{3} to fractions with denominator 9.

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

Since \frac{8}{9} and \frac{3}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-3}{9}\times \frac{3}{4}$$

Subtract 3 from 8 to get 5.

$$\frac{5}{9}\times \frac{3}{4}$$

Multiply \frac{5}{9} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{9\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{9\times 4}.

$$\frac{15}{36}$$

Reduce the fraction \frac{15}{36} to lowest terms by extracting and canceling out 3.

$$\frac{5}{12}$$

Factor

$$\frac{5}{2 ^ {2} \cdot 3} = 0.4166666666666667$$