Solve (80div0.212-331.4)div0.606

$$(80 \div 0.212-331.4) \div 0.606$$

Evaluate

$$\frac{1217900}{16059}\approx 75.839093343$$

Solution Steps

Expand \frac{80}{0.212} by multiplying both numerator and the denominator by 1000.

$$\frac{\frac{80000}{212}-331.4}{0.606}$$

Reduce the fraction \frac{80000}{212} to lowest terms by extracting and canceling out 4.

$$\frac{\frac{20000}{53}-331.4}{0.606}$$

Convert decimal number 331.4 to fraction \frac{3314}{10}. Reduce the fraction \frac{3314}{10} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{20000}{53}-\frac{1657}{5}}{0.606}$$

Least common multiple of 53 and 5 is 265. Convert \frac{20000}{53} and \frac{1657}{5} to fractions with denominator 265.

$$\frac{\frac{100000}{265}-\frac{87821}{265}}{0.606}$$

Since \frac{100000}{265} and \frac{87821}{265} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{100000-87821}{265}}{0.606}$$

Subtract 87821 from 100000 to get 12179.

$$\frac{\frac{12179}{265}}{0.606}$$

Express \frac{\frac{12179}{265}}{0.606} as a single fraction.

$$\frac{12179}{265\times 0.606}$$

Multiply 265 and 0.606 to get 160.59.

$$\frac{12179}{160.59}$$

Expand \frac{12179}{160.59} by multiplying both numerator and the denominator by 100.

$$\frac{1217900}{16059}$$

Factor

$$\frac{19 \cdot 641 \cdot 2 ^ {2} \cdot 5 ^ {2}}{3 \cdot 53 \cdot 101} = 75\frac{13475}{16059} = 75.8390933432966$$