Solve 625/36-47/3-38/90+23/4

$$6 \frac { 25 } { 36 } - 4 \frac { 7 } { 3 } - \frac { 38 } { 90 } + 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{121}{45}\approx 2.688888889$$

Solution Steps

Multiply 6 and 36 to get 216.

$$\frac{216+25}{36}-\frac{4\times 3+7}{3}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Add 216 and 25 to get 241.

$$\frac{241}{36}-\frac{4\times 3+7}{3}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Multiply 4 and 3 to get 12.

$$\frac{241}{36}-\frac{12+7}{3}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Add 12 and 7 to get 19.

$$\frac{241}{36}-\frac{19}{3}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Least common multiple of 36 and 3 is 36. Convert \frac{241}{36} and \frac{19}{3} to fractions with denominator 36.

$$\frac{241}{36}-\frac{228}{36}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Since \frac{241}{36} and \frac{228}{36} have the same denominator, subtract them by subtracting their numerators.

$$\frac{241-228}{36}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Subtract 228 from 241 to get 13.

$$\frac{13}{36}-\frac{38}{90}+\frac{2\times 4+3}{4}$$

Reduce the fraction \frac{38}{90} to lowest terms by extracting and canceling out 2.

$$\frac{13}{36}-\frac{19}{45}+\frac{2\times 4+3}{4}$$

Least common multiple of 36 and 45 is 180. Convert \frac{13}{36} and \frac{19}{45} to fractions with denominator 180.

$$\frac{65}{180}-\frac{76}{180}+\frac{2\times 4+3}{4}$$

Since \frac{65}{180} and \frac{76}{180} have the same denominator, subtract them by subtracting their numerators.

$$\frac{65-76}{180}+\frac{2\times 4+3}{4}$$

Subtract 76 from 65 to get -11.

$$-\frac{11}{180}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$-\frac{11}{180}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$-\frac{11}{180}+\frac{11}{4}$$

Least common multiple of 180 and 4 is 180. Convert -\frac{11}{180} and \frac{11}{4} to fractions with denominator 180.

$$-\frac{11}{180}+\frac{495}{180}$$

Since -\frac{11}{180} and \frac{495}{180} have the same denominator, add them by adding their numerators.

$$\frac{-11+495}{180}$$

Add -11 and 495 to get 484.

$$\frac{484}{180}$$

Reduce the fraction \frac{484}{180} to lowest terms by extracting and canceling out 4.

$$\frac{121}{45}$$

Factor

$$\frac{11 ^ {2}}{3 ^ {2} \cdot 5} = 2\frac{31}{45} = 2.688888888888889$$