Solve 52/3+34/7

$$5 \frac { 2 } { 3 } + 3 \frac { 4 } { 7 }$$

Evaluate

$$\frac{194}{21}\approx 9.238095238$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}+\frac{3\times 7+4}{7}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}+\frac{3\times 7+4}{7}$$

Multiply 3 and 7 to get 21.

$$\frac{17}{3}+\frac{21+4}{7}$$

Add 21 and 4 to get 25.

$$\frac{17}{3}+\frac{25}{7}$$

Least common multiple of 3 and 7 is 21. Convert \frac{17}{3} and \frac{25}{7} to fractions with denominator 21.

$$\frac{119}{21}+\frac{75}{21}$$

Since \frac{119}{21} and \frac{75}{21} have the same denominator, add them by adding their numerators.

$$\frac{119+75}{21}$$

Add 119 and 75 to get 194.

$$\frac{194}{21}$$

Factor

$$\frac{2 \cdot 97}{3 \cdot 7} = 9\frac{5}{21} = 9.238095238095237$$