Solve 376/70+13500-26/25-560

$$\frac { 376 } { 70 } + \frac { 13500 - 26 } { 25 } - 560$$

Evaluate

$$-\frac{2742}{175}\approx -15.668571429$$

Solution Steps

Reduce the fraction \frac{376}{70} to lowest terms by extracting and canceling out 2.

$$\frac{188}{35}+\frac{13500-26}{25}-560$$

Subtract 26 from 13500 to get 13474.

$$\frac{188}{35}+\frac{13474}{25}-560$$

Least common multiple of 35 and 25 is 175. Convert \frac{188}{35} and \frac{13474}{25} to fractions with denominator 175.

$$\frac{940}{175}+\frac{94318}{175}-560$$

Since \frac{940}{175} and \frac{94318}{175} have the same denominator, add them by adding their numerators.

$$\frac{940+94318}{175}-560$$

Add 940 and 94318 to get 95258.

$$\frac{95258}{175}-560$$

Convert 560 to fraction \frac{98000}{175}.

$$\frac{95258}{175}-\frac{98000}{175}$$

Since \frac{95258}{175} and \frac{98000}{175} have the same denominator, subtract them by subtracting their numerators.

$$\frac{95258-98000}{175}$$

Subtract 98000 from 95258 to get -2742.

$$-\frac{2742}{175}$$

Factor

$$-\frac{2742}{175} = -15\frac{117}{175} = -15.668571428571429$$