Solve 11.4/100+36.05+0.1140

$$\frac{ 11.4 }{ 100 } +36.05+0.1140$$

Evaluate

$$36.278$$

Solution Steps

Expand \frac{11.4}{100} by multiplying both numerator and the denominator by 10.

$$\frac{114}{1000}+36.05+0.114$$

Reduce the fraction \frac{114}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{57}{500}+36.05+0.114$$

Convert decimal number 36.05 to fraction \frac{3605}{100}. Reduce the fraction \frac{3605}{100} to lowest terms by extracting and canceling out 5.

$$\frac{57}{500}+\frac{721}{20}+0.114$$

Least common multiple of 500 and 20 is 500. Convert \frac{57}{500} and \frac{721}{20} to fractions with denominator 500.

$$\frac{57}{500}+\frac{18025}{500}+0.114$$

Since \frac{57}{500} and \frac{18025}{500} have the same denominator, add them by adding their numerators.

$$\frac{57+18025}{500}+0.114$$

Add 57 and 18025 to get 18082.

$$\frac{18082}{500}+0.114$$

Reduce the fraction \frac{18082}{500} to lowest terms by extracting and canceling out 2.

$$\frac{9041}{250}+0.114$$

Convert decimal number 0.114 to fraction \frac{114}{1000}. Reduce the fraction \frac{114}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{9041}{250}+\frac{57}{500}$$

Least common multiple of 250 and 500 is 500. Convert \frac{9041}{250} and \frac{57}{500} to fractions with denominator 500.

$$\frac{18082}{500}+\frac{57}{500}$$

Since \frac{18082}{500} and \frac{57}{500} have the same denominator, add them by adding their numerators.

$$\frac{18082+57}{500}$$

Add 18082 and 57 to get 18139.

$$\frac{18139}{500}$$

Factor

$$\frac{11 \cdot 17 \cdot 97}{2 ^ {2} \cdot 5 ^ {3}} = 36\frac{139}{500} = 36.278$$