Solve the Decimal Division: 99.9 ÷ 33.3

Question

Solve the following:

99.933.3= \frac{99.9}{33.3}=

Step-by-Step Solution

To solve the problem 99.933.3 \frac{99.9}{33.3} , we will simplify it by transforming each decimal into a whole number to make calculation straightforward.

  • Step 1: Multiply both the numerator and the denominator by 1010 to eliminate decimals. This gives us:
    99.9×1033.3×10=999333 \frac{99.9 \times 10}{33.3 \times 10} = \frac{999}{333} .
  • Step 2: Notice that both 999999 and 333333 can be divided by 33 (a common factor). Divide each by 33:
    999÷3333÷3=333111 \frac{999 \div 3}{333 \div 3} = \frac{333}{111} .
  • Step 3: Notice again that 333333 and 111111 can be simplified further by dividing each by 111111 (another common factor).
    333÷111111÷111=31=3 \frac{333 \div 111}{111 \div 111} = \frac{3}{1} = 3 .

Therefore, the solution to the problem is 3 3 .

Answer

3 3