Solve 229/105-153/35

$$\frac{ 229 }{ 105 } - \frac{ 153 }{ 35 }$$

Evaluate

$$-\frac{46}{21}\approx -2.19047619$$

Solution Steps

Least common multiple of 105 and 35 is 105. Convert \frac{229}{105} and \frac{153}{35} to fractions with denominator 105.

$$\frac{229}{105}-\frac{459}{105}$$

Since \frac{229}{105} and \frac{459}{105} have the same denominator, subtract them by subtracting their numerators.

$$\frac{229-459}{105}$$

Subtract 459 from 229 to get -230.

$$\frac{-230}{105}$$

Reduce the fraction \frac{-230}{105} to lowest terms by extracting and canceling out 5.

$$-\frac{46}{21}$$

Factor

$$-\frac{46}{21} = -2\frac{4}{21} = -2.1904761904761907$$