Solve 31/4+32/15

$$3 \frac { 1 } { 4 } + 3 \frac { 2 } { 15 }$$

Evaluate

$$\frac{383}{60}\approx 6.383333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+1}{4}+\frac{3\times 15+2}{15}$$

Add 12 and 1 to get 13.

$$\frac{13}{4}+\frac{3\times 15+2}{15}$$

Multiply 3 and 15 to get 45.

$$\frac{13}{4}+\frac{45+2}{15}$$

Add 45 and 2 to get 47.

$$\frac{13}{4}+\frac{47}{15}$$

Least common multiple of 4 and 15 is 60. Convert \frac{13}{4} and \frac{47}{15} to fractions with denominator 60.

$$\frac{195}{60}+\frac{188}{60}$$

Since \frac{195}{60} and \frac{188}{60} have the same denominator, add them by adding their numerators.

$$\frac{195+188}{60}$$

Add 195 and 188 to get 383.

$$\frac{383}{60}$$

Factor

$$\frac{383}{2 ^ {2} \cdot 3 \cdot 5} = 6\frac{23}{60} = 6.383333333333334$$