Solve 64/5-25/6

$$6 \frac { 4 } { 5 } - 2 \frac { 5 } { 6 }$$

Evaluate

$$\frac{119}{30}\approx 3.966666667$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+4}{5}-\frac{2\times 6+5}{6}$$

Add 30 and 4 to get 34.

$$\frac{34}{5}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{34}{5}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{34}{5}-\frac{17}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{34}{5} and \frac{17}{6} to fractions with denominator 30.

$$\frac{204}{30}-\frac{85}{30}$$

Since \frac{204}{30} and \frac{85}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{204-85}{30}$$

Subtract 85 from 204 to get 119.

$$\frac{119}{30}$$

Factor

$$\frac{7 \cdot 17}{2 \cdot 3 \cdot 5} = 3\frac{29}{30} = 3.966666666666667$$