Solve 41/5+21/6=

$$4 \frac { 1 } { 5 } + 2 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{191}{30}\approx 6.366666667$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+1}{5}+\frac{2\times 6+1}{6}$$

Add 20 and 1 to get 21.

$$\frac{21}{5}+\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{21}{5}+\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{21}{5}+\frac{13}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{21}{5} and \frac{13}{6} to fractions with denominator 30.

$$\frac{126}{30}+\frac{65}{30}$$

Since \frac{126}{30} and \frac{65}{30} have the same denominator, add them by adding their numerators.

$$\frac{126+65}{30}$$

Add 126 and 65 to get 191.

$$\frac{191}{30}$$

Factor

$$\frac{191}{2 \cdot 3 \cdot 5} = 6\frac{11}{30} = 6.366666666666666$$