Express 6.01 in Different Mathematical Forms: Decimal Practice

Question

6.01= 6.01=

Video Solution

Step-by-Step Solution

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 1100 \frac{1}{100} .
  • Step 3: Combine the whole number and the fractional part into a single fraction.
    Combine the whole number 6 with the fraction 1100 \frac{1}{100} , we write it as 6+1100 6 + \frac{1}{100} .
  • 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=600100 6 = \frac{600}{100} .
  • Step 5: Add the fractions.
    Combine 600100+1100 \frac{600}{100} + \frac{1}{100} to get 601100 \frac{601}{100} .
  • Step 6: Simplify, if possible.
    The fraction 601100 \frac{601}{100} is already in simplest form.

Thus, converting the decimal 6.01 to a fraction with 100 as its denominator results in 601100 \frac{601}{100} .

Answer

601100 \frac{601}{100}