Solve 5/9-(3/9*2/7)

$$5 / 9 - ( 3 / 9 \times 2 / 7 )$$

Evaluate

$$\frac{29}{63}\approx 0.46031746$$

Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{5}{9}-\frac{1}{3}\times \frac{2}{7}$$

Multiply \frac{1}{3} times \frac{2}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{9}-\frac{1\times 2}{3\times 7}$$

Do the multiplications in the fraction \frac{1\times 2}{3\times 7}.

$$\frac{5}{9}-\frac{2}{21}$$

Least common multiple of 9 and 21 is 63. Convert \frac{5}{9} and \frac{2}{21} to fractions with denominator 63.

$$\frac{35}{63}-\frac{6}{63}$$

Since \frac{35}{63} and \frac{6}{63} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-6}{63}$$

Subtract 6 from 35 to get 29.

$$\frac{29}{63}$$

Factor

$$\frac{29}{3 ^ {2} \cdot 7} = 0.4603174603174603$$