To convert 182% to a fraction and reduce it to the lowest terms, follow these steps:
1. Convert the percentage to a decimal:
- A percentage is merely a fraction with a denominator of 100.
- So, 182% can be written as [tex]\(\frac{182}{100}\)[/tex].
2. Simplify the fraction by finding the greatest common divisor (GCD):
- To reduce the fraction [tex]\(\frac{182}{100}\)[/tex] to its lowest terms, we need to find the greatest common divisor (GCD) of both the numerator (182) and the denominator (100).
- The GCD of 182 and 100 is 2.
3. Divide both the numerator and the denominator by their GCD:
- Divide the numerator 182 by 2: [tex]\(182 \div 2 = 91\)[/tex].
- Divide the denominator 100 by 2: [tex]\(100 \div 2 = 50\)[/tex].
Thus, the fraction [tex]\(\frac{182}{100}\)[/tex] simplified to its lowest terms is [tex]\(\frac{91}{50}\)[/tex].
So, 182% in fraction form, simplified to its lowest terms, is [tex]\(\frac{91}{50}\)[/tex].
