Solve the Decimal Division: 99.9 ÷ 33.3

Solve the following:

$\frac{99.9}{33.3}=$

To solve the problem $\frac{99.9}{33.3}$, 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 $10$ to eliminate decimals. This gives us:
  $\frac{99.9 \times 10}{33.3 \times 10} = \frac{999}{333}$.
• Step 2: Notice that both $999$ and $333$ can be divided by $3$ (a common factor). Divide each by $3$:
  $\frac{999 \div 3}{333 \div 3} = \frac{333}{111}$.
• Step 3: Notice again that $333$ and $111$ can be simplified further by dividing each by $111$ (another common factor).
  $\frac{333 \div 111}{111 \div 111} = \frac{3}{1} = 3$.

Therefore, the solution to the problem is $3$.