Solve Decimal Division: 0.99 ÷ 330 Step-by-Step

Question

0.99:330= 0.99:330=

Step-by-Step Solution

To solve the problem of dividing 0.99 0.99 by 330 330 , we follow these steps:

  • Step 1: Recognize that the operation is division, specifically dividing a decimal by a whole number.
  • Step 2: Express the decimal division 0.99÷330 0.99 \div 330 as a fraction 0.99330\frac{0.99}{330}.
  • Step 3: To facilitate division, multiply both the numerator and the denominator by 100 to eliminate the decimal. Thus, 0.99330=9933000 \frac{0.99}{330} = \frac{99}{33000} .
  • Step 4: Simplify the fraction 9933000 \frac{99}{33000} . Both numbers can be divided by 3:
    • Divide 99 by 3 to get 33.
    • Divide 33000 by 3 to get 11000.
  • Thus, the simplified fraction is 3311000\frac{33}{11000}.
  • Step 5: Perform division on the simplified fraction: 33 divided by 11000 is a direct calculation that results in 0.003 0.003 .

Therefore, the quotient of 0.99 0.99 divided by 330 330 is 0.003 0.003 .

Answer

0.003 0.003