Solve 301/5+422/6

$$30 \frac { 1 } { 5 } + 42 \frac { 2 } { 6 }$$

Evaluate

$$\frac{1088}{15}\approx 72.533333333$$

Solution Steps

Multiply 30 and 5 to get 150.

$$\frac{150+1}{5}+\frac{42\times 6+2}{6}$$

Add 150 and 1 to get 151.

$$\frac{151}{5}+\frac{42\times 6+2}{6}$$

Multiply 42 and 6 to get 252.

$$\frac{151}{5}+\frac{252+2}{6}$$

Add 252 and 2 to get 254.

$$\frac{151}{5}+\frac{254}{6}$$

Reduce the fraction \frac{254}{6} to lowest terms by extracting and canceling out 2.

$$\frac{151}{5}+\frac{127}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{151}{5} and \frac{127}{3} to fractions with denominator 15.

$$\frac{453}{15}+\frac{635}{15}$$

Since \frac{453}{15} and \frac{635}{15} have the same denominator, add them by adding their numerators.

$$\frac{453+635}{15}$$

Add 453 and 635 to get 1088.

$$\frac{1088}{15}$$

Factor

$$\frac{2 ^ {6} \cdot 17}{3 \cdot 5} = 72\frac{8}{15} = 72.53333333333333$$