Question

Write as fraction and simplify: 4.11

• A. Proper fracton: $\frac{411}{100}$
  Mixed number: $4\frac{11}{100}$
• B. Improper fracton: $\frac{411}{100}$
  Mixed number: $4\frac{11}{100}$
• C. Improper fracton: $4\frac{11}{100}$
  Mixed number: $\frac{411}{100}$

Answer 1

The correct option is B Improper fracton: $\frac{411}{100}$

Mixed number: $4\frac{11}{100}$
By shifting the decimal point of 4.11 to far right, we get the numerator of the fraction.

The denominator is 1 followed by same number of zeros as the number of times the decimal point was shifted to get the denominator,

$4.11=\frac{411}{100}$

This is an improper fraction.

To get the mixed number, we extract the whole-number part, i.e., 4 and convert the decimal part, i.e., .11 in to a fraction.

$4.11=4+0.11$

Similarly, we shift the decimal point of 0.11 and include a proper denominator.

$4.11=4+\frac{11}{100}$
$4.11=4\frac{11}{100}$