Solve -17/13+(25/101+4/13)

$$\frac { - 17 } { 13 } + ( \frac { 25 } { 101 } + \frac { 4 } { 13 } )$$

Evaluate

$$-\frac{76}{101}\approx -0.752475248$$

Solution Steps

Fraction \frac{-17}{13} can be rewritten as -\frac{17}{13} by extracting the negative sign.

$$-\frac{17}{13}+\frac{25}{101}+\frac{4}{13}$$

Least common multiple of 13 and 101 is 1313. Convert -\frac{17}{13} and \frac{25}{101} to fractions with denominator 1313.

$$-\frac{1717}{1313}+\frac{325}{1313}+\frac{4}{13}$$

Since -\frac{1717}{1313} and \frac{325}{1313} have the same denominator, add them by adding their numerators.

$$\frac{-1717+325}{1313}+\frac{4}{13}$$

Add -1717 and 325 to get -1392.

$$-\frac{1392}{1313}+\frac{4}{13}$$

Least common multiple of 1313 and 13 is 1313. Convert -\frac{1392}{1313} and \frac{4}{13} to fractions with denominator 1313.

$$-\frac{1392}{1313}+\frac{404}{1313}$$

Since -\frac{1392}{1313} and \frac{404}{1313} have the same denominator, add them by adding their numerators.

$$\frac{-1392+404}{1313}$$

Add -1392 and 404 to get -988.

$$\frac{-988}{1313}$$

Reduce the fraction \frac{-988}{1313} to lowest terms by extracting and canceling out 13.

$$-\frac{76}{101}$$

Factor

$$-\frac{76}{101} = -0.7524752475247525$$