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

Question

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 | \(\frac{18}{25}\) |