Solve 84/6-25/6=

$$8 \frac { 4 } { 6 } - 2 \frac { 5 } { 6 } =$$

Evaluate

$$\frac{35}{6}\approx 5.833333333$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+4}{6}-\frac{2\times 6+5}{6}$$

Add 48 and 4 to get 52.

$$\frac{52}{6}-\frac{2\times 6+5}{6}$$

Reduce the fraction \frac{52}{6} to lowest terms by extracting and canceling out 2.

$$\frac{26}{3}-\frac{2\times 6+5}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{26}{3}-\frac{12+5}{6}$$

Add 12 and 5 to get 17.

$$\frac{26}{3}-\frac{17}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{26}{3} and \frac{17}{6} to fractions with denominator 6.

$$\frac{52}{6}-\frac{17}{6}$$

Since \frac{52}{6} and \frac{17}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{52-17}{6}$$

Subtract 17 from 52 to get 35.

$$\frac{35}{6}$$

Factor

$$\frac{5 \cdot 7}{2 \cdot 3} = 5\frac{5}{6} = 5.833333333333333$$