Solve (-7/15)+(14/19+7/15)=

$$( - \frac { 7 } { 15 } ) + ( \frac { 14 } { 19 } + \frac { 7 } { 15 } ) =$$

Evaluate

$$\frac{14}{19}\approx 0.736842105$$

Solution Steps

Least common multiple of 15 and 19 is 285. Convert -\frac{7}{15} and \frac{14}{19} to fractions with denominator 285.

$$-\frac{133}{285}+\frac{210}{285}+\frac{7}{15}$$

Since -\frac{133}{285} and \frac{210}{285} have the same denominator, add them by adding their numerators.

$$\frac{-133+210}{285}+\frac{7}{15}$$

Add -133 and 210 to get 77.

$$\frac{77}{285}+\frac{7}{15}$$

Least common multiple of 285 and 15 is 285. Convert \frac{77}{285} and \frac{7}{15} to fractions with denominator 285.

$$\frac{77}{285}+\frac{133}{285}$$

Since \frac{77}{285} and \frac{133}{285} have the same denominator, add them by adding their numerators.

$$\frac{77+133}{285}$$

Add 77 and 133 to get 210.

$$\frac{210}{285}$$

Reduce the fraction \frac{210}{285} to lowest terms by extracting and canceling out 15.

$$\frac{14}{19}$$

Factor

$$\frac{2 \cdot 7}{19} = 0.7368421052631579$$