Is 4/5 greater or less than 45/100? How do you know?
The Correct Answer and Explanation is:
Correct Answer: 4/5 is greater than 45/100.
Explanation:
To compare two fractions, such as 4/5 and 45/100, we can use a few different methods. One simple and reliable method is to convert both fractions to decimals or find a common denominator.
Method 1: Convert to decimals
- 4/5 as a decimal:
Divide the numerator by the denominator:
4÷5=0.84 \div 5 = 0.84÷5=0.8 - 45/100 as a decimal:
Divide the numerator by the denominator:
45÷100=0.4545 \div 100 = 0.4545÷100=0.45
Now compare the two decimals:
- 0.8 is greater than 0.45
So, 4/5 is greater than 45/100.
Method 2: Use common denominators
We can rewrite both fractions with a common denominator. The least common denominator (LCD) of 5 and 100 is 100.
- Convert 4/5 to an equivalent fraction with a denominator of 100:
4×20=804 \times 20 = 804×20=80 and 5×20=1005 \times 20 = 1005×20=100,
so 4/5=80/1004/5 = 80/1004/5=80/100 - We already have 45/100
Now compare:
- 80/100 is greater than 45/100
So again, 4/5 is greater than 45/100.
Conclusion:
Using either method, we see that 4/5 is larger than 45/100. Converting fractions to decimals or finding equivalent fractions with the same denominator are both useful strategies for comparison. Since 0.8 is more than 0.45, and 80/100 is more than 45/100, we can confidently say that 4/5 is greater than 45/100.
