Solve 33/5-114/15

$$3 \frac{ 3 }{ 5 } -11 \frac{ 4 }{ 15 }$$

Evaluate

$$-\frac{23}{3}\approx -7.666666667$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+3}{5}-\frac{11\times 15+4}{15}$$

Add 15 and 3 to get 18.

$$\frac{18}{5}-\frac{11\times 15+4}{15}$$

Multiply 11 and 15 to get 165.

$$\frac{18}{5}-\frac{165+4}{15}$$

Add 165 and 4 to get 169.

$$\frac{18}{5}-\frac{169}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{18}{5} and \frac{169}{15} to fractions with denominator 15.

$$\frac{54}{15}-\frac{169}{15}$$

Since \frac{54}{15} and \frac{169}{15} have the same denominator, subtract them by subtracting their numerators.

$$\frac{54-169}{15}$$

Subtract 169 from 54 to get -115.

$$\frac{-115}{15}$$

Reduce the fraction \frac{-115}{15} to lowest terms by extracting and canceling out 5.

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

Factor

$$-\frac{23}{3} = -7\frac{2}{3} = -7.666666666666667$$