Solve 74/7+82/6=

$$\frac { 74 } { 7 } + \frac { 82 } { 6 } =$$

Evaluate

$$\frac{509}{21}\approx 24.238095238$$

Solution Steps

Reduce the fraction \frac{82}{6} to lowest terms by extracting and canceling out 2.

$$\frac{74}{7}+\frac{41}{3}$$

Least common multiple of 7 and 3 is 21. Convert \frac{74}{7} and \frac{41}{3} to fractions with denominator 21.

$$\frac{222}{21}+\frac{287}{21}$$

Since \frac{222}{21} and \frac{287}{21} have the same denominator, add them by adding their numerators.

$$\frac{222+287}{21}$$

Add 222 and 287 to get 509.

$$\frac{509}{21}$$

Factor

$$\frac{509}{3 \cdot 7} = 24\frac{5}{21} = 24.238095238095237$$