Solve 72/3-12/4

$$7 \frac { 2 } { 3 } - 1 \frac { 2 } { 4 }$$

Evaluate

$$\frac{37}{6}\approx 6.166666667$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}-\frac{1\times 4+2}{4}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{1\times 4+2}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{23}{3}-\frac{4+2}{4}$$

Add 4 and 2 to get 6.

$$\frac{23}{3}-\frac{6}{4}$$

Reduce the fraction \frac{6}{4} to lowest terms by extracting and canceling out 2.

$$\frac{23}{3}-\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{23}{3} and \frac{3}{2} to fractions with denominator 6.

$$\frac{46}{6}-\frac{9}{6}$$

Since \frac{46}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-9}{6}$$

Subtract 9 from 46 to get 37.

$$\frac{37}{6}$$

Factor

$$\frac{37}{2 \cdot 3} = 6\frac{1}{6} = 6.166666666666667$$