Add and subtract fractions with like denominators
key notes:
1. Definition of Fractions with Like Denominators:
- Fractions have like denominators when the denominator (the bottom number) is the same for both fractions.
- Example: 3/7 and 2/7 have like denominators (7).
2. Adding Fractions with Like Denominators:
- When adding fractions with like denominators, you add the numerators (the top numbers) and keep the denominator the same.
3. Subtracting Fractions with Like Denominators:
- When subtracting fractions with like denominators, you subtract the numerators and keep the denominator the same.
4. Simplifying the Result:
- After adding or subtracting fractions, check if the resulting fraction can be simplified.
5. Steps for Adding/Subtracting Fractions:
- Step 1: Make sure the fractions have the same denominator.
- Step 2: Add or subtract the numerators.
- Step 3: Write the result with the same denominator.
- Step 4: Simplify the fraction if possible.
Learn with an example
Add.
2/6 + 5/6 + 2/6 =_____
Add the fractions. Add the numerators and keep the denominators the same.
2/6 + 5/6 + 2/6 = 9/6
You can also write 9/6 as a mixed number.
Divide 9 by 6.
9 ÷ 6 = 1 R3
9/6 = 1 3/6
Add.
1/4 + 2/4 =
Add the numerators:
1/4 + 2/4 = 3/4
Add.
2/19 + 10/19 + 8/19 =
Add the fractions. Add the numerators and keep the denominators the same.
2/19 + 10/19 + 8/19 = 20/19
You can also write 20/19 as a mixed number.
Divide 20 by 19.
20 ÷ 19 = 1 R1
20/19 = 1 1/19
let’s practice:
