Solve 41/15+27/10

$$4 \frac { 1 } { 15 } + 2 \frac { 7 } { 10 }$$

Evaluate

$$\frac{203}{30}\approx 6.766666667$$

Solution Steps

Multiply 4 and 15 to get 60.

$$\frac{60+1}{15}+\frac{2\times 10+7}{10}$$

Add 60 and 1 to get 61.

$$\frac{61}{15}+\frac{2\times 10+7}{10}$$

Multiply 2 and 10 to get 20.

$$\frac{61}{15}+\frac{20+7}{10}$$

Add 20 and 7 to get 27.

$$\frac{61}{15}+\frac{27}{10}$$

Least common multiple of 15 and 10 is 30. Convert \frac{61}{15} and \frac{27}{10} to fractions with denominator 30.

$$\frac{122}{30}+\frac{81}{30}$$

Since \frac{122}{30} and \frac{81}{30} have the same denominator, add them by adding their numerators.

$$\frac{122+81}{30}$$

Add 122 and 81 to get 203.

$$\frac{203}{30}$$

Factor

$$\frac{7 \cdot 29}{2 \cdot 3 \cdot 5} = 6\frac{23}{30} = 6.766666666666667$$