Solve 5/9*6/4-4/9+10/3=

$$\frac { 5 } { 9 } \times \frac { 6 } { 4 } - \frac { 4 } { 9 } + \frac { 10 } { 3 } =$$

Evaluate

$$\frac{67}{18}\approx 3.722222222$$

Solution Steps

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}\times \frac{3}{2}-\frac{4}{9}+\frac{10}{3}$$

Multiply \frac{5}{9} times \frac{3}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{9\times 2}-\frac{4}{9}+\frac{10}{3}$$

Do the multiplications in the fraction \frac{5\times 3}{9\times 2}.

$$\frac{15}{18}-\frac{4}{9}+\frac{10}{3}$$

Reduce the fraction \frac{15}{18} to lowest terms by extracting and canceling out 3.

$$\frac{5}{6}-\frac{4}{9}+\frac{10}{3}$$

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{4}{9} to fractions with denominator 18.

$$\frac{15}{18}-\frac{8}{18}+\frac{10}{3}$$

Since \frac{15}{18} and \frac{8}{18} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-8}{18}+\frac{10}{3}$$

Subtract 8 from 15 to get 7.

$$\frac{7}{18}+\frac{10}{3}$$

Least common multiple of 18 and 3 is 18. Convert \frac{7}{18} and \frac{10}{3} to fractions with denominator 18.

$$\frac{7}{18}+\frac{60}{18}$$

Since \frac{7}{18} and \frac{60}{18} have the same denominator, add them by adding their numerators.

$$\frac{7+60}{18}$$

Add 7 and 60 to get 67.

$$\frac{67}{18}$$

Factor

$$\frac{67}{2 \cdot 3 ^ {2}} = 3\frac{13}{18} = 3.7222222222222223$$