Solve 2/3div4/9+2/5

$$\frac { 2 } { 3 } \div \frac { 4 } { 9 } + \frac { 2 } { 5 }$$

Evaluate

$$\frac{19}{10}=1.9$$

Solution Steps

Divide \frac{2}{3} by \frac{4}{9} by multiplying \frac{2}{3} by the reciprocal of \frac{4}{9}.

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

Multiply \frac{2}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{2\times 9}{3\times 4}.

$$\frac{18}{12}+\frac{2}{5}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

$$\frac{3}{2}+\frac{2}{5}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{2}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{4}{10}$$

Since \frac{15}{10} and \frac{4}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+4}{10}$$

Add 15 and 4 to get 19.

$$\frac{19}{10}$$

Factor

$$\frac{19}{2 \cdot 5} = 1\frac{9}{10} = 1.9$$