Solve 51/6-23/4=

$$5 \frac { 1 } { 6 } - 2 \frac { 3 } { 4 } =$$

Evaluate

$$\frac{29}{12}\approx 2.416666667$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}-\frac{2\times 4+3}{4}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}-\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{31}{6}-\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{31}{6}-\frac{11}{4}$$

Least common multiple of 6 and 4 is 12. Convert \frac{31}{6} and \frac{11}{4} to fractions with denominator 12.

$$\frac{62}{12}-\frac{33}{12}$$

Since \frac{62}{12} and \frac{33}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-33}{12}$$

Subtract 33 from 62 to get 29.

$$\frac{29}{12}$$

Factor

$$\frac{29}{2 ^ {2} \cdot 3} = 2\frac{5}{12} = 2.4166666666666665$$