Solve 78/125+45/69-78/12=

$$\frac{ 78 }{ 125 } + \frac{ 45 }{ 69 } - \frac{ 78 }{ 12 } =$$

Evaluate

$$-\frac{30037}{5750}\approx -5.223826087$$

Solution Steps

Reduce the fraction \frac{45}{69} to lowest terms by extracting and canceling out 3.

$$\frac{78}{125}+\frac{15}{23}-\frac{78}{12}$$

Least common multiple of 125 and 23 is 2875. Convert \frac{78}{125} and \frac{15}{23} to fractions with denominator 2875.

$$\frac{1794}{2875}+\frac{1875}{2875}-\frac{78}{12}$$

Since \frac{1794}{2875} and \frac{1875}{2875} have the same denominator, add them by adding their numerators.

$$\frac{1794+1875}{2875}-\frac{78}{12}$$

Add 1794 and 1875 to get 3669.

$$\frac{3669}{2875}-\frac{78}{12}$$

Reduce the fraction \frac{78}{12} to lowest terms by extracting and canceling out 6.

$$\frac{3669}{2875}-\frac{13}{2}$$

Least common multiple of 2875 and 2 is 5750. Convert \frac{3669}{2875} and \frac{13}{2} to fractions with denominator 5750.

$$\frac{7338}{5750}-\frac{37375}{5750}$$

Since \frac{7338}{5750} and \frac{37375}{5750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7338-37375}{5750}$$

Subtract 37375 from 7338 to get -30037.

$$-\frac{30037}{5750}$$

Factor

$$-\frac{30037}{5750} = -5\frac{1287}{5750} = -5.223826086956522$$