To solve this problem, we'll follow these logical steps:
- Step 1: Identify the whole number and fractional parts of the given decimal.
6.01 can be expressed as a sum of its whole number (6) and its fractional part (0.01).
- Step 2: Convert the decimal portion, 0.01, into a fraction.
Since 0.01 is two decimal places to the right of the decimal point, it can be written as 1001.
- Step 3: Combine the whole number and the fractional part into a single fraction.
Combine the whole number 6 with the fraction 1001, we write it as 6+1001.
- Step 4: Express the mixed number as a single fraction.
To convert 6 into a fraction with a denominator of 100, multiply both numerator and denominator of 6 by 100, i.e., 6=100600.
- Step 5: Add the fractions.
Combine 100600+1001 to get 100601.
- Step 6: Simplify, if possible.
The fraction 100601 is already in simplest form.
Thus, converting the decimal 6.01 to a fraction with 100 as its denominator results in 100601.
100601