Solve -578/1800+6/100

$$- \frac { 578 } { 1800 } + \frac { 6 } { 100 }$$

Evaluate

$$-\frac{47}{180}\approx -0.261111111$$

Solution Steps

Reduce the fraction \frac{578}{1800} to lowest terms by extracting and canceling out 2.

$$-\frac{289}{900}+\frac{6}{100}$$

Reduce the fraction \frac{6}{100} to lowest terms by extracting and canceling out 2.

$$-\frac{289}{900}+\frac{3}{50}$$

Least common multiple of 900 and 50 is 900. Convert -\frac{289}{900} and \frac{3}{50} to fractions with denominator 900.

$$-\frac{289}{900}+\frac{54}{900}$$

Since -\frac{289}{900} and \frac{54}{900} have the same denominator, add them by adding their numerators.

$$\frac{-289+54}{900}$$

Add -289 and 54 to get -235.

$$\frac{-235}{900}$$

Reduce the fraction \frac{-235}{900} to lowest terms by extracting and canceling out 5.

$$-\frac{47}{180}$$

Factor

$$-\frac{47}{180} = -0.2611111111111111$$