The two fractions have denominators that are not equal. We need to make them equal by finding their Least Common Multiple that will serve as their Least Common Denominator (LCD). Once their denominators are equal, add the fractions by adding their numerators and then copying the common denominator.
Do you Simplify after adding fractions?
After the fractions have like denominators, add the numerators together. Since the sum is an improper fraction, change it to a mixed number before simplifying the fraction.
How do you simplify fractions with like denominators?
Instructions for adding fractions with the same denominator
- Build each fraction (if needed) so that both denominators are equal.
- Add the numerators of the fractions.
- The new denominator will be the denominator of the built-up fractions.
- Reduce or simplify your answer, if needed. Factor the numerator.
How do you find the LCD for a fraction?
Find the LCD. For each fraction, determine the number needed to multiply the denominator to get the LCD. Use the Equivalent Fractions Property to multiply both the numerator and denominator by the number you found in Step 2. Simplify the numerator and denominator.
Which is the correct way to add fractions?
Adding fractions is pretty simple as long as you start with like denominators. The denominator is the bottom number, and the numerator is the number on top. Let’s say you have the following problem: Since the denominators are the same (6), all you have to do is add the numerators together:
Why is it important to simplify a fraction?
An improper fraction has a numerator that is larger than the denominator. Because of this, it’s important to simplify the fraction after finding the solution since you’ll probably end up with another mixed number. Check out this equation: In this equation, you know that 1 = 4/4. Therefore, 2 = 8/4.
Do you have to have like denominator to add fractions?
Before adding fractions together, you need to have like denominators. One of the easiest ways to find common denominators is by multiplying the first denominator by the second denominator and vice versa. When doing this, it’s important to multiply the numerator and denominator by the same number so the value doesn’t change.
