Solve 34/5-15/6

$$3 \frac { 4 } { 5 } - 1 \frac { 5 } { 6 }$$

Evaluate

$$\frac{59}{30}\approx 1.966666667$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+4}{5}-\frac{1\times 6+5}{6}$$

Add 15 and 4 to get 19.

$$\frac{19}{5}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{19}{5}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{19}{5}-\frac{11}{6}$$

Least common multiple of 5 and 6 is 30. Convert \frac{19}{5} and \frac{11}{6} to fractions with denominator 30.

$$\frac{114}{30}-\frac{55}{30}$$

Since \frac{114}{30} and \frac{55}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{114-55}{30}$$

Subtract 55 from 114 to get 59.

$$\frac{59}{30}$$

Factor

$$\frac{59}{2 \cdot 3 \cdot 5} = 1\frac{29}{30} = 1.9666666666666666$$