Solve 151/3-51/2=

$$15 \frac { 1 } { 3 } - 5 \frac { 1 } { 2 } =$$

Evaluate

$$\frac{59}{6}\approx 9.833333333$$

Solution Steps

Multiply 15 and 3 to get 45.

$$\frac{45+1}{3}-\frac{5\times 2+1}{2}$$

Add 45 and 1 to get 46.

$$\frac{46}{3}-\frac{5\times 2+1}{2}$$

Multiply 5 and 2 to get 10.

$$\frac{46}{3}-\frac{10+1}{2}$$

Add 10 and 1 to get 11.

$$\frac{46}{3}-\frac{11}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{46}{3} and \frac{11}{2} to fractions with denominator 6.

$$\frac{92}{6}-\frac{33}{6}$$

Since \frac{92}{6} and \frac{33}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{92-33}{6}$$

Subtract 33 from 92 to get 59.

$$\frac{59}{6}$$

Factor

$$\frac{59}{2 \cdot 3} = 9\frac{5}{6} = 9.833333333333334$$