Question

What are the missing percentage and fraction? Show your work. The fractional equivalent should be in simplest form.
Percentage Decimal Fraction
? 0.72 ?

Answer 1

To find the missing percentage and fraction corresponding to the given decimal of 0.72, we can follow these steps:

1. **Convert the decimal to a percentage**:
To convert a decimal to a percentage, multiply the decimal by 100.

\[
0.72 \times 100 = 72\%
\]

So, the percentage is **72%**.

2. **Convert the decimal to a fraction**:
The decimal 0.72 can be represented as a fraction. We recognize that 0.72 means 72 hundredths.

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

Now, simplify the fraction \( \frac{72}{100} \). We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 4:

\[
\frac{72 \div 4}{100 \div 4} = \frac{18}{25}
\]

Thus, the fractional equivalent in simplest form is **\(\frac{18}{25}\)**.

As a result, the completed table is:

| Percentage | Decimal | Fraction |
|------------|---------|------------|
| 72% | 0.72 | \(\frac{18}{25}\) |