Solve 32/9+41/3

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

Evaluate

$$\frac{68}{9}\approx 7.555555556$$

Solution Steps

Multiply 3 and 9 to get 27.

$$\frac{27+2}{9}+\frac{4\times 3+1}{3}$$

Add 27 and 2 to get 29.

$$\frac{29}{9}+\frac{4\times 3+1}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{29}{9}+\frac{12+1}{3}$$

Add 12 and 1 to get 13.

$$\frac{29}{9}+\frac{13}{3}$$

Least common multiple of 9 and 3 is 9. Convert \frac{29}{9} and \frac{13}{3} to fractions with denominator 9.

$$\frac{29}{9}+\frac{39}{9}$$

Since \frac{29}{9} and \frac{39}{9} have the same denominator, add them by adding their numerators.

$$\frac{29+39}{9}$$

Add 29 and 39 to get 68.

$$\frac{68}{9}$$

Factor

$$\frac{2 ^ {2} \cdot 17}{3 ^ {2}} = 7\frac{5}{9} = 7.555555555555555$$