Comparing Fractions: 1 1/4 and 5/6
In this article, we will explore the comparison of two fractions: 1 1/4 and 5/6. Fractions are a fundamental concept in mathematics, and understanding how to compare them is crucial for various mathematical operations.
What do the Fractions Represent?
Before we dive into the comparison, let's understand what each fraction represents:
- 1 1/4: This mixed number represents 1 whole unit and 1/4 of another unit. It can be written as 1.25 in decimal form.
- 5/6: This fraction represents 5 equal parts out of 6. It can be written as 0.83 in decimal form.
Comparing the Fractions
To compare these fractions, we need to find a common denominator. The least common multiple (LCM) of 4 and 6 is 12. Let's convert both fractions to have a denominator of 12:
- 1 1/4 = 15/12: Convert 1 1/4 to an improper fraction by multiplying the whole number part by the denominator (4) and then adding the numerator (1). Finally, multiply both numerator and denominator by 3 to get 15/12.
- 5/6 = 10/12: Multiply both numerator and denominator of 5/6 by 2 to get 10/12.
Now we can compare the fractions:
15/12 > 10/12
This means 1 1/4 is greater than 5/6.
Conclusion
In conclusion, by converting both fractions to have the same denominator, we can compare them and find that 1 1/4 is greater than 5/6. This understanding of comparing fractions is essential in various mathematical operations, such as addition, subtraction, multiplication, and division of fractions.
