Solve 97/28-610/28

$$9 \frac { 7 } { 28 } - 6 \frac { 10 } { 28 }$$

Evaluate

$$\frac{81}{28}\approx 2.892857143$$

Solution Steps

Multiply 9 and 28 to get 252.

$$\frac{252+7}{28}-\frac{6\times 28+10}{28}$$

Add 252 and 7 to get 259.

$$\frac{259}{28}-\frac{6\times 28+10}{28}$$

Reduce the fraction \frac{259}{28} to lowest terms by extracting and canceling out 7.

$$\frac{37}{4}-\frac{6\times 28+10}{28}$$

Multiply 6 and 28 to get 168.

$$\frac{37}{4}-\frac{168+10}{28}$$

Add 168 and 10 to get 178.

$$\frac{37}{4}-\frac{178}{28}$$

Reduce the fraction \frac{178}{28} to lowest terms by extracting and canceling out 2.

$$\frac{37}{4}-\frac{89}{14}$$

Least common multiple of 4 and 14 is 28. Convert \frac{37}{4} and \frac{89}{14} to fractions with denominator 28.

$$\frac{259}{28}-\frac{178}{28}$$

Since \frac{259}{28} and \frac{178}{28} have the same denominator, subtract them by subtracting their numerators.

$$\frac{259-178}{28}$$

Subtract 178 from 259 to get 81.

$$\frac{81}{28}$$

Factor

$$\frac{3 ^ {4}}{2 ^ {2} \cdot 7} = 2\frac{25}{28} = 2.892857142857143$$