Solve 425/45+-321/45-215/45

$$4 \frac{ 25 }{ 45 } +-3 \frac{ 21 }{ 45 } -2 \frac{ 15 }{ 45 }$$

Evaluate

$$-\frac{56}{45}\approx -1.244444444$$

Solution Steps

Multiply 4 and 45 to get 180.

$$\frac{180+25}{45}-\frac{3\times 45+21}{45}-\frac{2\times 45+15}{45}$$

Add 180 and 25 to get 205.

$$\frac{205}{45}-\frac{3\times 45+21}{45}-\frac{2\times 45+15}{45}$$

Reduce the fraction \frac{205}{45} to lowest terms by extracting and canceling out 5.

$$\frac{41}{9}-\frac{3\times 45+21}{45}-\frac{2\times 45+15}{45}$$

Multiply 3 and 45 to get 135.

$$\frac{41}{9}-\frac{135+21}{45}-\frac{2\times 45+15}{45}$$

Add 135 and 21 to get 156.

$$\frac{41}{9}-\frac{156}{45}-\frac{2\times 45+15}{45}$$

Reduce the fraction \frac{156}{45} to lowest terms by extracting and canceling out 3.

$$\frac{41}{9}-\frac{52}{15}-\frac{2\times 45+15}{45}$$

Least common multiple of 9 and 15 is 45. Convert \frac{41}{9} and \frac{52}{15} to fractions with denominator 45.

$$\frac{205}{45}-\frac{156}{45}-\frac{2\times 45+15}{45}$$

Since \frac{205}{45} and \frac{156}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{205-156}{45}-\frac{2\times 45+15}{45}$$

Subtract 156 from 205 to get 49.

$$\frac{49}{45}-\frac{2\times 45+15}{45}$$

Multiply 2 and 45 to get 90.

$$\frac{49}{45}-\frac{90+15}{45}$$

Add 90 and 15 to get 105.

$$\frac{49}{45}-\frac{105}{45}$$

Since \frac{49}{45} and \frac{105}{45} have the same denominator, subtract them by subtracting their numerators.

$$\frac{49-105}{45}$$

Subtract 105 from 49 to get -56.

$$-\frac{56}{45}$$

Factor

$$-\frac{56}{45} = -1\frac{11}{45} = -1.2444444444444445$$