Solve 34/6-15/6=

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+4}{6}-\frac{1\times 6+5}{6}$$

Add 18 and 4 to get 22.

$$\frac{22}{6}-\frac{1\times 6+5}{6}$$

Reduce the fraction \frac{22}{6} to lowest terms by extracting and canceling out 2.

$$\frac{11}{3}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{11}{3}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{11}{3}-\frac{11}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{11}{3} and \frac{11}{6} to fractions with denominator 6.

$$\frac{22}{6}-\frac{11}{6}$$

Since \frac{22}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{22-11}{6}$$

Subtract 11 from 22 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$