To rewrite the fraction [tex]\(\frac{21}{25}\)[/tex] as a percentage, you can follow these steps:
1. Understand the fraction: The fraction [tex]\(\frac{21}{25}\)[/tex] represents 21 parts out of a total of 25 parts.
2. Convert the fraction to a decimal: To do this, divide the numerator (21) by the denominator (25).
3. Convert the decimal to a percentage: Multiply the result by 100 to get the percentage.
Let's go through these steps in detail:
1. Given fraction: [tex]\(\frac{21}{25}\)[/tex]
2. Convert to decimal:
[tex]\[
\frac{21}{25} = 0.84 \quad (\text{21 divided by 25 equals 0.84})
\][/tex]
3. Convert to percentage:
[tex]\[
0.84 \times 100 = 84\%
\][/tex]
Therefore, in 2011, a fire destroyed 84% of the farmer's crops.