Solve -10/145+63/261+(-4/29)

$$- \frac { 10 } { 145 } + \frac { 63 } { 261 } + ( - \frac { 4 } { 29 } )$$

Evaluate

$$\frac{1}{29}\approx 0.034482759$$

Solution Steps

Reduce the fraction \frac{10}{145} to lowest terms by extracting and canceling out 5.

$$-\frac{2}{29}+\frac{63}{261}-\frac{4}{29}$$

Reduce the fraction \frac{63}{261} to lowest terms by extracting and canceling out 9.

$$-\frac{2}{29}+\frac{7}{29}-\frac{4}{29}$$

Since -\frac{2}{29} and \frac{7}{29} have the same denominator, add them by adding their numerators.

$$\frac{-2+7}{29}-\frac{4}{29}$$

Add -2 and 7 to get 5.

$$\frac{5}{29}-\frac{4}{29}$$

Since \frac{5}{29} and \frac{4}{29} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5-4}{29}$$

Subtract 4 from 5 to get 1.

$$\frac{1}{29}$$

Factor

$$\frac{1}{29} = 0.034482758620689655$$