Solve 8.404-52825div4175.*51456+8194div1.852-525113-8251521*5481445div45554*=82

$$8.404-52825 \div 4175. \times 51456+8194 \div 1.852-525113-8251521 \times 5481445 \div 45554 \times =82$$

Evaluate

$$-\frac{177383}{41750}\approx -4.248694611$$

Solution Steps

Reduce the fraction \frac{52825}{4175} to lowest terms by extracting and canceling out 25.

$$8.404-\frac{2113}{167}$$

Convert decimal number 8.404 to fraction \frac{8404}{1000}. Reduce the fraction \frac{8404}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{2101}{250}-\frac{2113}{167}$$

Least common multiple of 250 and 167 is 41750. Convert \frac{2101}{250} and \frac{2113}{167} to fractions with denominator 41750.

$$\frac{350867}{41750}-\frac{528250}{41750}$$

Since \frac{350867}{41750} and \frac{528250}{41750} have the same denominator, subtract them by subtracting their numerators.

$$\frac{350867-528250}{41750}$$

Subtract 528250 from 350867 to get -177383.

$$-\frac{177383}{41750}$$

Factor

$$-\frac{177383}{41750} = -4\frac{10383}{41750} = -4.248694610778443$$