Solve 4/9+5/6div3/5

$$\frac { 4 } { 9 } + \frac { 5 } { 6 } \div \frac { 3 } { 5 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Divide \frac{5}{6} by \frac{3}{5} by multiplying \frac{5}{6} by the reciprocal of \frac{3}{5}.

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

Multiply \frac{5}{6} times \frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{5\times 5}{6\times 3}.

$$\frac{4}{9}+\frac{25}{18}$$

Least common multiple of 9 and 18 is 18. Convert \frac{4}{9} and \frac{25}{18} to fractions with denominator 18.

$$\frac{8}{18}+\frac{25}{18}$$

Since \frac{8}{18} and \frac{25}{18} have the same denominator, add them by adding their numerators.

$$\frac{8+25}{18}$$

Add 8 and 25 to get 33.

$$\frac{33}{18}$$

Reduce the fraction \frac{33}{18} to lowest terms by extracting and canceling out 3.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$