Question

0.72 / 9 show your work

Answer 1

To divide \(0.72\) by \(9\), you can follow these steps:

1. **Set up the division**: You want to find out how many times \(9\) fits into \(0.72\).

2. **Convert the division into a more manageable form**: Since \(9\) is a whole number, you can rewrite the division as:

\[
\frac{0.72}{9}
\]

3. **Perform the division**: You can express \(0.72\) as a fraction:

\[
0.72 = \frac{72}{100}
\]

So,

\[
\frac{0.72}{9} = \frac{72/100}{9} = \frac{72}{100 \times 9} = \frac{72}{900}
\]

4. **Simplify the fraction**: Now, we simplify \(\frac{72}{900}\).

- Find the greatest common divisor (GCD) of \(72\) and \(900\). The GCD is \(36\).

- Divide both the numerator and the denominator by \(36\):

\[
\frac{72 \div 36}{900 \div 36} = \frac{2}{25}
\]

5. **Convert back to decimal, if needed**: If you'd like the decimal form of this result, divide \(2\) by \(25\):

\[
2 \div 25 = 0.08
\]

Thus, the result of \(0.72\) divided by \(9\) is:

\[
\frac{0.72}{9} = 0.08
\]