Solve 32/3+27/10=

$$3 \frac { 2 } { 3 } + 2 \frac { 7 } { 10 } =$$

Evaluate

$$\frac{191}{30}\approx 6.366666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+2}{3}+\frac{2\times 10+7}{10}$$

Add 9 and 2 to get 11.

$$\frac{11}{3}+\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{11}{3}+\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$\frac{11}{3}+\frac{27}{10}$$

Least common multiple of 3 and 10 is 30. Convert \frac{11}{3} and \frac{27}{10} to fractions with denominator 30.

$$\frac{110}{30}+\frac{81}{30}$$

Since \frac{110}{30} and \frac{81}{30} have the same denominator, add them by adding their numerators.

$$\frac{110+81}{30}$$

Add 110 and 81 to get 191.

$$\frac{191}{30}$$

Factor

$$\frac{191}{2 \cdot 3 \cdot 5} = 6\frac{11}{30} = 6.366666666666666$$