Solve -6/23-(-7/15)

$$\frac { - 6 } { 23 } - ( - \frac { 7 } { 15 } )$$

Evaluate

$$\frac{71}{345}\approx 0.205797101$$

Solution Steps

Fraction \frac{-6}{23} can be rewritten as -\frac{6}{23} by extracting the negative sign.

$$-\frac{6}{23}-\left(-\frac{7}{15}\right)$$

The opposite of -\frac{7}{15} is \frac{7}{15}.

$$-\frac{6}{23}+\frac{7}{15}$$

Least common multiple of 23 and 15 is 345. Convert -\frac{6}{23} and \frac{7}{15} to fractions with denominator 345.

$$-\frac{90}{345}+\frac{161}{345}$$

Since -\frac{90}{345} and \frac{161}{345} have the same denominator, add them by adding their numerators.

$$\frac{-90+161}{345}$$

Add -90 and 161 to get 71.

$$\frac{71}{345}$$

Factor

$$\frac{71}{3 \cdot 5 \cdot 23} = 0.20579710144927535$$