Solve 147/63-35280/56700-29160/43200-50625/36450

$$\frac { 147 } { 63 } - \frac { 35280 } { 56700 } - \frac { 29160 } { 43200 } - \frac { 50625 } { 36450 }$$

Evaluate

$$-\frac{127}{360}\approx -0.352777778$$

Solution Steps

Reduce the fraction \frac{147}{63} to lowest terms by extracting and canceling out 21.

$$\frac{7}{3}-\frac{35280}{56700}-\frac{29160}{43200}-\frac{50625}{36450}$$

Reduce the fraction \frac{35280}{56700} to lowest terms by extracting and canceling out 1260.

$$\frac{7}{3}-\frac{28}{45}-\frac{29160}{43200}-\frac{50625}{36450}$$

Least common multiple of 3 and 45 is 45. Convert \frac{7}{3} and \frac{28}{45} to fractions with denominator 45.

$$\frac{105}{45}-\frac{28}{45}-\frac{29160}{43200}-\frac{50625}{36450}$$

Since \frac{105}{45} and \frac{28}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-28}{45}-\frac{29160}{43200}-\frac{50625}{36450}$$

Subtract 28 from 105 to get 77.

$$\frac{77}{45}-\frac{29160}{43200}-\frac{50625}{36450}$$

Reduce the fraction \frac{29160}{43200} to lowest terms by extracting and canceling out 1080.

$$\frac{77}{45}-\frac{27}{40}-\frac{50625}{36450}$$

Least common multiple of 45 and 40 is 360. Convert \frac{77}{45} and \frac{27}{40} to fractions with denominator 360.

$$\frac{616}{360}-\frac{243}{360}-\frac{50625}{36450}$$

Since \frac{616}{360} and \frac{243}{360} have the same denominator, subtract them by subtracting their numerators.

$$\frac{616-243}{360}-\frac{50625}{36450}$$

Subtract 243 from 616 to get 373.

$$\frac{373}{360}-\frac{50625}{36450}$$

Reduce the fraction \frac{50625}{36450} to lowest terms by extracting and canceling out 2025.

$$\frac{373}{360}-\frac{25}{18}$$

Least common multiple of 360 and 18 is 360. Convert \frac{373}{360} and \frac{25}{18} to fractions with denominator 360.

$$\frac{373}{360}-\frac{500}{360}$$

Since \frac{373}{360} and \frac{500}{360} have the same denominator, subtract them by subtracting their numerators.

$$\frac{373-500}{360}$$

Subtract 500 from 373 to get -127.

$$-\frac{127}{360}$$

Factor

$$-\frac{127}{360} = -0.3527777777777778$$