Solve 1/3+4/9:2/3=

$$\frac { 1 } { 3 } + \frac { 4 } { 9 } : \frac { 2 } { 3 } =$$

Evaluate

$$1$$

Solution Steps

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

$$\frac{1}{3}+\frac{4}{9}\times \frac{3}{2}$$

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

$$\frac{1}{3}+\frac{4\times 3}{9\times 2}$$

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

$$\frac{1}{3}+\frac{12}{18}$$

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

$$\frac{1}{3}+\frac{2}{3}$$

Since \frac{1}{3} and \frac{2}{3} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{3}$$

Add 1 and 2 to get 3.

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

Divide 3 by 3 to get 1.

$$1$$

Factor

$$1$$