Solve 51/2-34/3

$$5 \frac{ 1 }{ 2 } -3 \frac{ 4 }{ 3 }$$

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

Multiply 5 and 2 to get 10.

$$\frac{10+1}{2}-\frac{3\times 3+4}{3}$$

Add 10 and 1 to get 11.

$$\frac{11}{2}-\frac{3\times 3+4}{3}$$

Multiply 3 and 3 to get 9.

$$\frac{11}{2}-\frac{9+4}{3}$$

Add 9 and 4 to get 13.

$$\frac{11}{2}-\frac{13}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{11}{2} and \frac{13}{3} to fractions with denominator 6.

$$\frac{33}{6}-\frac{26}{6}$$

Since \frac{33}{6} and \frac{26}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-26}{6}$$

Subtract 26 from 33 to get 7.

$$\frac{7}{6}$$

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$