Solve 4/9-5/8(1/3)^2

$$\frac { 4 } { 9 } - \frac { 5 } { 8 } ( \frac { 1 } { 3 } ) ^ { 2 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Calculate \frac{1}{3} to the power of 2 and get \frac{1}{9}.

$$\frac{4}{9}-\frac{5}{8}\times \frac{1}{9}$$

Multiply \frac{5}{8} times \frac{1}{9} by multiplying numerator times numerator and denominator times denominator.

$$\frac{4}{9}-\frac{5\times 1}{8\times 9}$$

Do the multiplications in the fraction \frac{5\times 1}{8\times 9}.

$$\frac{4}{9}-\frac{5}{72}$$

Least common multiple of 9 and 72 is 72. Convert \frac{4}{9} and \frac{5}{72} to fractions with denominator 72.

$$\frac{32}{72}-\frac{5}{72}$$

Since \frac{32}{72} and \frac{5}{72} have the same denominator, subtract them by subtracting their numerators.

$$\frac{32-5}{72}$$

Subtract 5 from 32 to get 27.

$$\frac{27}{72}$$

Reduce the fraction \frac{27}{72} to lowest terms by extracting and canceling out 9.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$