Solve 13/21*17+17/12*8

$$\frac{ 13 }{ 21 } \times 17+ \frac{ 17 }{ 12 } \times 8$$

Evaluate

$$\frac{153}{7}\approx 21.857142857$$

Solution Steps

Express \frac{13}{21}\times 17 as a single fraction.

$$\frac{13\times 17}{21}+\frac{17}{12}\times 8$$

Multiply 13 and 17 to get 221.

$$\frac{221}{21}+\frac{17}{12}\times 8$$

Express \frac{17}{12}\times 8 as a single fraction.

$$\frac{221}{21}+\frac{17\times 8}{12}$$

Multiply 17 and 8 to get 136.

$$\frac{221}{21}+\frac{136}{12}$$

Reduce the fraction \frac{136}{12} to lowest terms by extracting and canceling out 4.

$$\frac{221}{21}+\frac{34}{3}$$

Least common multiple of 21 and 3 is 21. Convert \frac{221}{21} and \frac{34}{3} to fractions with denominator 21.

$$\frac{221}{21}+\frac{238}{21}$$

Since \frac{221}{21} and \frac{238}{21} have the same denominator, add them by adding their numerators.

$$\frac{221+238}{21}$$

Add 221 and 238 to get 459.

$$\frac{459}{21}$$

Reduce the fraction \frac{459}{21} to lowest terms by extracting and canceling out 3.

$$\frac{153}{7}$$

Factor

$$\frac{3 ^ {2} \cdot 17}{7} = 21\frac{6}{7} = 21.857142857142858$$