Solve 6/9+8/4+3/7=

$$\frac { 6 } { 9 } + \frac { 8 } { 4 } + \frac { 3 } { 7 } =$$

Evaluate

$$\frac{65}{21}\approx 3.095238095$$

Solution Steps

Reduce the fraction \frac{6}{9} to lowest terms by extracting and canceling out 3.

$$\frac{2}{3}+\frac{8}{4}+\frac{3}{7}$$

Divide 8 by 4 to get 2.

$$\frac{2}{3}+2+\frac{3}{7}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{2}{3}+\frac{6}{3}+\frac{3}{7}$$

Since \frac{2}{3} and \frac{6}{3} have the same denominator, add them by adding their numerators.

$$\frac{2+6}{3}+\frac{3}{7}$$

Add 2 and 6 to get 8.

$$\frac{8}{3}+\frac{3}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{8}{3} and \frac{3}{7} to fractions with denominator 21.

$$\frac{56}{21}+\frac{9}{21}$$

Since \frac{56}{21} and \frac{9}{21} have the same denominator, add them by adding their numerators.

$$\frac{56+9}{21}$$

Add 56 and 9 to get 65.

$$\frac{65}{21}$$

Factor

$$\frac{5 \cdot 13}{3 \cdot 7} = 3\frac{2}{21} = 3.0952380952380953$$