How do I subtract fractions with different denominators? This is a common question among students learning basic algebra and arithmetic. Subtracting fractions with different denominators can seem daunting at first, but with a few simple steps, you can master this skill. In this article, we will guide you through the process of subtracting fractions with different denominators, making it easier for you to understand and apply the concept in your daily life.
Subtracting fractions with different denominators involves finding a common denominator and then performing the subtraction. Here’s a step-by-step guide to help you through the process:
1. Identify the denominators: First, identify the denominators of the fractions you want to subtract. For example, let’s say you have the fractions 3/4 and 1/6.
2. Find the least common denominator (LCD): The LCD is the smallest number that is a multiple of both denominators. To find the LCD, you can list the multiples of each denominator until you find a common multiple. In our example, the multiples of 4 are 4, 8, 12, 16, and so on, while the multiples of 6 are 6, 12, 18, 24, and so on. The LCD in this case is 12.
3. Convert the fractions to equivalent fractions with the LCD: To do this, multiply the numerator and denominator of each fraction by a number that will make the denominator equal to the LCD. In our example, you would multiply 3/4 by 3/3 (which is equivalent to 1) to get 9/12, and you would multiply 1/6 by 2/2 (which is also equivalent to 1) to get 2/12.
4. Subtract the numerators: Now that both fractions have the same denominator, you can subtract the numerators. In our example, 9/12 – 2/12 equals 7/12.
5. Simplify the result: If the result is a mixed number, you can simplify it by dividing the numerator by the denominator. In our example, 7/12 is already in its simplest form.
Remember, the key to subtracting fractions with different denominators is to find a common denominator and then perform the subtraction. By following these steps, you can easily subtract fractions with different denominators and improve your arithmetic skills.
