Solve 4/2:9/3+6/13=

$$\frac { 4 } { 2 } : \frac { 9 } { 3 } + \frac { 6 } { 13 } =$$

Evaluate

$$\frac{44}{39}\approx 1.128205128$$

Solution Steps

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

$$\frac{4\times 3}{2\times 9}+\frac{6}{13}$$

Cancel out 2\times 3 in both numerator and denominator.

$$\frac{2}{3}+\frac{6}{13}$$

Least common multiple of 3 and 13 is 39. Convert \frac{2}{3} and \frac{6}{13} to fractions with denominator 39.

$$\frac{26}{39}+\frac{18}{39}$$

Since \frac{26}{39} and \frac{18}{39} have the same denominator, add them by adding their numerators.

$$\frac{26+18}{39}$$

Add 26 and 18 to get 44.

$$\frac{44}{39}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{3 \cdot 13} = 1\frac{5}{39} = 1.1282051282051282$$