Solve (355.16*93.8+9000)div(9000div160+93.8)=

$$(355.16 \cdot 93.8+9000) \div (9000 \div 160+93.8)=$$

Evaluate

$$\frac{21157004}{75025}\approx 281.999386871$$

Solution Steps

Multiply 355.16 and 93.8 to get 33314.008.

$$\frac{33314.008+9000}{\frac{9000}{160}+93.8}$$

Add 33314.008 and 9000 to get 42314.008.

$$\frac{42314.008}{\frac{9000}{160}+93.8}$$

Reduce the fraction \frac{9000}{160} to lowest terms by extracting and canceling out 40.

$$\frac{42314.008}{\frac{225}{4}+93.8}$$

Convert decimal number 93.8 to fraction \frac{938}{10}. Reduce the fraction \frac{938}{10} to lowest terms by extracting and canceling out 2.

$$\frac{42314.008}{\frac{225}{4}+\frac{469}{5}}$$

Least common multiple of 4 and 5 is 20. Convert \frac{225}{4} and \frac{469}{5} to fractions with denominator 20.

$$\frac{42314.008}{\frac{1125}{20}+\frac{1876}{20}}$$

Since \frac{1125}{20} and \frac{1876}{20} have the same denominator, add them by adding their numerators.

$$\frac{42314.008}{\frac{1125+1876}{20}}$$

Add 1125 and 1876 to get 3001.

$$\frac{42314.008}{\frac{3001}{20}}$$

Divide 42314.008 by \frac{3001}{20} by multiplying 42314.008 by the reciprocal of \frac{3001}{20}.

$$42314.008\times \frac{20}{3001}$$

Convert decimal number 42314.008 to fraction \frac{42314008}{1000}. Reduce the fraction \frac{42314008}{1000} to lowest terms by extracting and canceling out 8.

$$\frac{5289251}{125}\times \frac{20}{3001}$$

Multiply \frac{5289251}{125} times \frac{20}{3001} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5289251\times 20}{125\times 3001}$$

Do the multiplications in the fraction \frac{5289251\times 20}{125\times 3001}.

$$\frac{105785020}{375125}$$

Reduce the fraction \frac{105785020}{375125} to lowest terms by extracting and canceling out 5.

$$\frac{21157004}{75025}$$

Factor

$$\frac{11 \cdot 31 \cdot 15511 \cdot 2 ^ {2}}{3001 \cdot 5 ^ {2}} = 281\frac{74979}{75025} = 281.999386871043$$