Fraction Operations: 11/12 - 3/4
In this article, we will discuss the operation of subtracting two fractions, specifically 11/12 - 3/4. Fractions are a fundamental concept in mathematics, and understanding how to perform operations with them is crucial for success in various mathematical disciplines.
Understanding the Problem
The problem at hand is to subtract 3/4 from 11/12. To do this, we need to follow the rules of fraction subtraction.
Step 1: Find the Least Common Denominator (LCD)
The first step is to find the least common denominator (LCD) of the two fractions. The LCD is the smallest common multiple of the denominators of the two fractions. In this case, the denominators are 12 and 4.
The multiples of 12 are: 12, 24, 36, 48, ... The multiples of 4 are: 4, 8, 12, 16, ...
The smallest common multiple is 12. Therefore, the LCD is 12.
Step 2: Convert the Fractions to Have the LCD
Now that we have the LCD, we need to convert both fractions to have a denominator of 12.
11/12 is already in the correct form.
3/4 = 9/12 (multiply numerator and denominator by 3)
Step 3: Subtract the Fractions
Now that both fractions have the same denominator, we can subtract them.
11/12 - 9/12 = 2/12
Simplifying the Fraction
The resulting fraction is 2/12. We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of 2 and 12 is 2.
2 ÷ 2 = 1 12 ÷ 2 = 6
Therefore, the simplified fraction is:
1/6
Conclusion
The result of subtracting 3/4 from 11/12 is 1/6. This article has demonstrated the step-by-step process of subtracting two fractions with different denominators. By finding the least common denominator, converting the fractions, subtracting, and simplifying, we can perform this operation with ease.
