Solve 31/2+15/6+43/9=

$$3 \frac { 1 } { 2 } + 1 \frac { 5 } { 6 } + 4 \frac { 3 } { 9 } =$$

Evaluate

$$\frac{29}{3}\approx 9.666666667$$

Solution Steps

Multiply 3 and 2 to get 6.

$$\frac{6+1}{2}+\frac{1\times 6+5}{6}+\frac{4\times 9+3}{9}$$

Add 6 and 1 to get 7.

$$\frac{7}{2}+\frac{1\times 6+5}{6}+\frac{4\times 9+3}{9}$$

Multiply 1 and 6 to get 6.

$$\frac{7}{2}+\frac{6+5}{6}+\frac{4\times 9+3}{9}$$

Add 6 and 5 to get 11.

$$\frac{7}{2}+\frac{11}{6}+\frac{4\times 9+3}{9}$$

Least common multiple of 2 and 6 is 6. Convert \frac{7}{2} and \frac{11}{6} to fractions with denominator 6.

$$\frac{21}{6}+\frac{11}{6}+\frac{4\times 9+3}{9}$$

Since \frac{21}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{21+11}{6}+\frac{4\times 9+3}{9}$$

Add 21 and 11 to get 32.

$$\frac{32}{6}+\frac{4\times 9+3}{9}$$

Reduce the fraction \frac{32}{6} to lowest terms by extracting and canceling out 2.

$$\frac{16}{3}+\frac{4\times 9+3}{9}$$

Multiply 4 and 9 to get 36.

$$\frac{16}{3}+\frac{36+3}{9}$$

Add 36 and 3 to get 39.

$$\frac{16}{3}+\frac{39}{9}$$

Reduce the fraction \frac{39}{9} to lowest terms by extracting and canceling out 3.

$$\frac{16}{3}+\frac{13}{3}$$

Since \frac{16}{3} and \frac{13}{3} have the same denominator, add them by adding their numerators.

$$\frac{16+13}{3}$$

Add 16 and 13 to get 29.

$$\frac{29}{3}$$

Factor

$$\frac{29}{3} = 9\frac{2}{3} = 9.666666666666666$$