Solve 72/3-25/6=

$$7 \frac { 2 } { 3 } - 2 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{29}{6}\approx 4.833333333$$

Solution Steps

Multiply 7 and 3 to get 21.

$$\frac{21+2}{3}-\frac{2\times 6+5}{6}$$

Add 21 and 2 to get 23.

$$\frac{23}{3}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{23}{3}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{23}{3}-\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{23}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{46}{6}-\frac{17}{6}$$

Since \frac{46}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{46-17}{6}$$

Subtract 17 from 46 to get 29.

$$\frac{29}{6}$$

Factor

$$\frac{29}{2 \cdot 3} = 4\frac{5}{6} = 4.833333333333333$$