Solve -10/3+18/7.4

$$- \frac{ 10 }{ 3 } + \frac{ 18 }{ 7.4 }$$

Evaluate

$$-\frac{100}{111}\approx -0.900900901$$

Solution Steps

Expand \frac{18}{7.4} by multiplying both numerator and the denominator by 10.

$$-\frac{10}{3}+\frac{180}{74}$$

Reduce the fraction \frac{180}{74} to lowest terms by extracting and canceling out 2.

$$-\frac{10}{3}+\frac{90}{37}$$

Least common multiple of 3 and 37 is 111. Convert -\frac{10}{3} and \frac{90}{37} to fractions with denominator 111.

$$-\frac{370}{111}+\frac{270}{111}$$

Since -\frac{370}{111} and \frac{270}{111} have the same denominator, add them by adding their numerators.

$$\frac{-370+270}{111}$$

Add -370 and 270 to get -100.

$$-\frac{100}{111}$$

Factor

$$-\frac{100}{111} = -0.9009009009009009$$