Solve 19/10+61/3=

$$1 \frac { 9 } { 10 } + 6 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{247}{30}\approx 8.233333333$$

Solution Steps

Multiply 1 and 10 to get 10.

$$\frac{10+9}{10}+\frac{6\times 3+1}{3}$$

Add 10 and 9 to get 19.

$$\frac{19}{10}+\frac{6\times 3+1}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{19}{10}+\frac{18+1}{3}$$

Add 18 and 1 to get 19.

$$\frac{19}{10}+\frac{19}{3}$$

Least common multiple of 10 and 3 is 30. Convert \frac{19}{10} and \frac{19}{3} to fractions with denominator 30.

$$\frac{57}{30}+\frac{190}{30}$$

Since \frac{57}{30} and \frac{190}{30} have the same denominator, add them by adding their numerators.

$$\frac{57+190}{30}$$

Add 57 and 190 to get 247.

$$\frac{247}{30}$$

Factor

$$\frac{13 \cdot 19}{2 \cdot 3 \cdot 5} = 8\frac{7}{30} = 8.233333333333333$$