Solve 17-25.43/3.5+56.1-11.325/8

$$17 - \frac { 25.43 } { 3.5 } + \frac { 56.1 - 11.325 } { 8 }$$

Evaluate

$$\frac{171709}{11200}\approx 15.331160714$$

Solution Steps

Expand \frac{25.43}{3.5} by multiplying both numerator and the denominator by 100.

$$17-\frac{2543}{350}+\frac{56.1-11.325}{8}$$

Convert 17 to fraction \frac{5950}{350}.

$$\frac{5950}{350}-\frac{2543}{350}+\frac{56.1-11.325}{8}$$

Since \frac{5950}{350} and \frac{2543}{350} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5950-2543}{350}+\frac{56.1-11.325}{8}$$

Subtract 2543 from 5950 to get 3407.

$$\frac{3407}{350}+\frac{56.1-11.325}{8}$$

Subtract 11.325 from 56.1 to get 44.775.

$$\frac{3407}{350}+\frac{44.775}{8}$$

Expand \frac{44.775}{8} by multiplying both numerator and the denominator by 1000.

$$\frac{3407}{350}+\frac{44775}{8000}$$

Reduce the fraction \frac{44775}{8000} to lowest terms by extracting and canceling out 25.

$$\frac{3407}{350}+\frac{1791}{320}$$

Least common multiple of 350 and 320 is 11200. Convert \frac{3407}{350} and \frac{1791}{320} to fractions with denominator 11200.

$$\frac{109024}{11200}+\frac{62685}{11200}$$

Since \frac{109024}{11200} and \frac{62685}{11200} have the same denominator, add them by adding their numerators.

$$\frac{109024+62685}{11200}$$

Add 109024 and 62685 to get 171709.

$$\frac{171709}{11200}$$

Factor

$$\frac{29 \cdot 31 \cdot 191}{7 \cdot 2 ^ {6} \cdot 5 ^ {2}} = 15\frac{3709}{11200} = 15.331160714285714$$