Solve 102/3+71/7=

$$10 \frac { 2 } { 3 } + 7 \frac { 1 } { 7 } =$$

Evaluate

$$\frac{374}{21}\approx 17.80952381$$

Solution Steps

Multiply 10 and 3 to get 30.

$$\frac{30+2}{3}+\frac{7\times 7+1}{7}$$

Add 30 and 2 to get 32.

$$\frac{32}{3}+\frac{7\times 7+1}{7}$$

Multiply 7 and 7 to get 49.

$$\frac{32}{3}+\frac{49+1}{7}$$

Add 49 and 1 to get 50.

$$\frac{32}{3}+\frac{50}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{32}{3} and \frac{50}{7} to fractions with denominator 21.

$$\frac{224}{21}+\frac{150}{21}$$

Since \frac{224}{21} and \frac{150}{21} have the same denominator, add them by adding their numerators.

$$\frac{224+150}{21}$$

Add 224 and 150 to get 374.

$$\frac{374}{21}$$

Factor

$$\frac{2 \cdot 11 \cdot 17}{3 \cdot 7} = 17\frac{17}{21} = 17.80952380952381$$