Solve 4/16+5/9-10/5

$$\frac { 4 } { 16 } + \frac { 5 } { 9 } - \frac { 10 } { 5 }$$

Evaluate

$$-\frac{43}{36}\approx -1.194444444$$

Solution Steps

Reduce the fraction \frac{4}{16} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}+\frac{5}{9}-\frac{10}{5}$$

Least common multiple of 4 and 9 is 36. Convert \frac{1}{4} and \frac{5}{9} to fractions with denominator 36.

$$\frac{9}{36}+\frac{20}{36}-\frac{10}{5}$$

Since \frac{9}{36} and \frac{20}{36} have the same denominator, add them by adding their numerators.

$$\frac{9+20}{36}-\frac{10}{5}$$

Add 9 and 20 to get 29.

$$\frac{29}{36}-\frac{10}{5}$$

Divide 10 by 5 to get 2.

$$\frac{29}{36}-2$$

Convert 2 to fraction \frac{72}{36}.

$$\frac{29}{36}-\frac{72}{36}$$

Since \frac{29}{36} and \frac{72}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{29-72}{36}$$

Subtract 72 from 29 to get -43.

$$-\frac{43}{36}$$

Factor

$$-\frac{43}{36} = -1\frac{7}{36} = -1.1944444444444444$$