Solve 69/24-114/24

$$6 \frac{ 9 }{ 24 } -11 \frac{ 4 }{ 24 }$$

Evaluate

$$-\frac{115}{24}\approx -4.791666667$$

Solution Steps

Multiply 6 and 24 to get 144.

$$\frac{144+9}{24}-\frac{11\times 24+4}{24}$$

Add 144 and 9 to get 153.

$$\frac{153}{24}-\frac{11\times 24+4}{24}$$

Reduce the fraction \frac{153}{24} to lowest terms by extracting and canceling out 3.

$$\frac{51}{8}-\frac{11\times 24+4}{24}$$

Multiply 11 and 24 to get 264.

$$\frac{51}{8}-\frac{264+4}{24}$$

Add 264 and 4 to get 268.

$$\frac{51}{8}-\frac{268}{24}$$

Reduce the fraction \frac{268}{24} to lowest terms by extracting and canceling out 4.

$$\frac{51}{8}-\frac{67}{6}$$

Least common multiple of 8 and 6 is 24. Convert \frac{51}{8} and \frac{67}{6} to fractions with denominator 24.

$$\frac{153}{24}-\frac{268}{24}$$

Since \frac{153}{24} and \frac{268}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-268}{24}$$

Subtract 268 from 153 to get -115.

$$-\frac{115}{24}$$

Factor

$$-\frac{115}{24} = -4\frac{19}{24} = -4.791666666666667$$