Solve 64/5-35/6

$$6 \frac { 4 } { 5 } - 3 \frac { 5 } { 6 }$$

Evaluate

$$\frac{89}{30}\approx 2.966666667$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+4}{5}-\frac{3\times 6+5}{6}$$

Add 30 and 4 to get 34.

$$\frac{34}{5}-\frac{3\times 6+5}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{34}{5}-\frac{18+5}{6}$$

Add 18 and 5 to get 23.

$$\frac{34}{5}-\frac{23}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{34}{5} and \frac{23}{6} to fractions with denominator 30.

$$\frac{204}{30}-\frac{115}{30}$$

Since \frac{204}{30} and \frac{115}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{204-115}{30}$$

Subtract 115 from 204 to get 89.

$$\frac{89}{30}$$

Factor

$$\frac{89}{2 \cdot 3 \cdot 5} = 2\frac{29}{30} = 2.966666666666667$$