Solve 42/9+11/3+22/6

$$4 \frac { 2 } { 9 } + 1 \frac { 1 } { 3 } + 2 \frac { 2 } { 6 }$$

Evaluate

$$\frac{71}{9}\approx 7.888888889$$

Solution Steps

Multiply 4 and 9 to get 36.

$$\frac{36+2}{9}+\frac{1\times 3+1}{3}+\frac{2\times 6+2}{6}$$

Add 36 and 2 to get 38.

$$\frac{38}{9}+\frac{1\times 3+1}{3}+\frac{2\times 6+2}{6}$$

Multiply 1 and 3 to get 3.

$$\frac{38}{9}+\frac{3+1}{3}+\frac{2\times 6+2}{6}$$

Add 3 and 1 to get 4.

$$\frac{38}{9}+\frac{4}{3}+\frac{2\times 6+2}{6}$$

Least common multiple of 9 and 3 is 9. Convert \frac{38}{9} and \frac{4}{3} to fractions with denominator 9.

$$\frac{38}{9}+\frac{12}{9}+\frac{2\times 6+2}{6}$$

Since \frac{38}{9} and \frac{12}{9} have the same denominator, add them by adding their numerators.

$$\frac{38+12}{9}+\frac{2\times 6+2}{6}$$

Add 38 and 12 to get 50.

$$\frac{50}{9}+\frac{2\times 6+2}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{50}{9}+\frac{12+2}{6}$$

Add 12 and 2 to get 14.

$$\frac{50}{9}+\frac{14}{6}$$

Reduce the fraction \frac{14}{6} to lowest terms by extracting and canceling out 2.

$$\frac{50}{9}+\frac{7}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{50}{9} and \frac{7}{3} to fractions with denominator 9.

$$\frac{50}{9}+\frac{21}{9}$$

Since \frac{50}{9} and \frac{21}{9} have the same denominator, add them by adding their numerators.

$$\frac{50+21}{9}$$

Add 50 and 21 to get 71.

$$\frac{71}{9}$$

Factor

$$\frac{71}{3 ^ {2}} = 7\frac{8}{9} = 7.888888888888889$$