Solve 29/4-417/36

$$2 \frac { 9 } { 4 } - 4 \frac { 17 } { 36 }$$

Evaluate

$$-\frac{2}{9}\approx -0.222222222$$

Solution Steps

Multiply 2 and 4 to get 8.

$$\frac{8+9}{4}-\frac{4\times 36+17}{36}$$

Add 8 and 9 to get 17.

$$\frac{17}{4}-\frac{4\times 36+17}{36}$$

Multiply 4 and 36 to get 144.

$$\frac{17}{4}-\frac{144+17}{36}$$

Add 144 and 17 to get 161.

$$\frac{17}{4}-\frac{161}{36}$$

Least common multiple of 4 and 36 is 36. Convert \frac{17}{4} and \frac{161}{36} to fractions with denominator 36.

$$\frac{153}{36}-\frac{161}{36}$$

Since \frac{153}{36} and \frac{161}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{153-161}{36}$$

Subtract 161 from 153 to get -8.

$$\frac{-8}{36}$$

Reduce the fraction \frac{-8}{36} to lowest terms by extracting and canceling out 4.

$$-\frac{2}{9}$$

Factor

$$-\frac{2}{9} = -0.2222222222222222$$