Question

Divide:

R
910
9,900

Answer 1

To perform the division \( \frac{9,900}{910} \), follow these steps:

1. **Set up the division**:
\[
9900 \div 910
\]

2. **Simplify the fraction (if possible)**:
First, observe if \(\frac{9900}{910}\) can be simplified. To do this, find the greatest common divisor (GCD) of 9900 and 910.

- Factorize 9900:
\[
9900 = 2^2 \times 3^2 \times 5^2 \times 11
\]

- Factorize 910:
\[
910 = 2 \times 5 \times 7 \times 13
\]

The common factors are 2 and 5. So, the GCD is \(2 \times 5 = 10\).

3. **Divide both the numerator and the denominator by the GCD**:
\[
\frac{9900 \div 10}{910 \div 10} = \frac{990}{91}
\]

4. **Perform the division**:
Now divide 990 by 91.

- \(91\) goes into \(990\) approximately \(10.88\) times.
- You can get a more precise result by performing long division or using a calculator:
\[
990 \div 91 \approx 10.8791
\]

Thus, \( \frac{9,900}{910} \approx 10.8791 \).

So, \( 9,900 \div 910 \approx 10.8791 \).