Solve 1.814/1+5.281div100

$$\frac{ 1.814 }{ 1+5.281 \div 100 }$$

Evaluate

$$\frac{181400}{105281}\approx 1.72300795$$

Solution Steps

Expand \frac{5.281}{100} by multiplying both numerator and the denominator by 1000.

$$\frac{1.814}{1+\frac{5281}{100000}}$$

Convert 1 to fraction \frac{100000}{100000}.

$$\frac{1.814}{\frac{100000}{100000}+\frac{5281}{100000}}$$

Since \frac{100000}{100000} and \frac{5281}{100000} have the same denominator, add them by adding their numerators.

$$\frac{1.814}{\frac{100000+5281}{100000}}$$

Add 100000 and 5281 to get 105281.

$$\frac{1.814}{\frac{105281}{100000}}$$

Divide 1.814 by \frac{105281}{100000} by multiplying 1.814 by the reciprocal of \frac{105281}{100000}.

$$1.814\times \frac{100000}{105281}$$

Convert decimal number 1.814 to fraction \frac{1814}{1000}. Reduce the fraction \frac{1814}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{907}{500}\times \frac{100000}{105281}$$

Multiply \frac{907}{500} times \frac{100000}{105281} by multiplying numerator times numerator and denominator times denominator.

$$\frac{907\times 100000}{500\times 105281}$$

Do the multiplications in the fraction \frac{907\times 100000}{500\times 105281}.

$$\frac{90700000}{52640500}$$

Reduce the fraction \frac{90700000}{52640500} to lowest terms by extracting and canceling out 500.

$$\frac{181400}{105281}$$

Factor

$$\frac{907 \cdot 2 ^ {3} \cdot 5 ^ {2}}{11 \cdot 17 \cdot 563} = 1\frac{76119}{105281} = 1.7230079501524491$$