Let’s solve each problem one by one. All these problems are adding fractions with the same bottom number (denominator). When denominators are the same, you just add the top numbers (numerators) and keep the bottom number the same.
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1)
2/9 + 2/9 = (2+2)/9 =
4/9
2)
2/11 + 2/11 = (2+2)/11 =
4/11
3)
2/12 + 3/12 = (2+3)/12 =
5/12
4)
3/9 + 3/9 = (3+3)/9 =
6/9 → This can be simplified! Divide top and bottom by 3: 6÷3=2, 9÷3=3 →
2/3
Wait — let me check if we should simplify. The worksheet says “Adding Simple Fractions” — sometimes they want simplified answers. Let’s assume yes, unless told otherwise. So 6/9 simplifies to 2/3.
But looking at other problems — like #8: 2/10 + 7/10 = 9/10 — that doesn’t simplify. So maybe we only simplify if it reduces nicely? Actually, in math class, you usually simplify unless told not to. Let’s do it for all that can be simplified.
So for #4: 6/9 = 2/3
✔
5)
1/4 + 2/4 = (1+2)/4 =
3/4
6)
2/7 + 2/7 = (2+2)/7 =
4/7
7)
1/11 + 8/11 = (1+8)/11 =
9/11
8)
2/10 + 7/10 = (2+7)/10 =
9/10
9)
4/10 + 5/10 = (4+5)/10 =
9/10
10)
2/12 + 6/12 = (2+6)/12 =
8/12 → Simplify: divide top and bottom by 4 → 8÷4=2, 12÷4=3 →
2/3
Wait — 8 and 12 divided by 4 is correct? 8÷4=2, 12÷4=3 → yes, 2/3.
Alternatively, divide by 2 first: 8/12 = 4/6, then again by 2: 2/3. Same result.
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Now let’s list all final answers clearly:
1) 4/9
2) 4/11
3) 5/12
4) 2/3 (from 6/9)
5) 3/4
6) 4/7
7) 9/11
8) 9/10
9) 9/10
10) 2/3 (from 8/12)
Double-checking #4 and #10 — both reduce to 2/3? That’s fine — different starting fractions can give same answer.
#4: 3/9 + 3/9 = 6/9 = 2/3 ✔️
#10: 2/12 + 6/12 = 8/12 = 2/3 ✔️
All good.
Final Answer:
1) 4/9
2) 4/11
3) 5/12
4) 2/3
5) 3/4
6) 4/7
7) 9/11
8) 9/10
9) 9/10
10) 2/3
Parent Tip: Review the logic above to help your child master the concept of fractions for beginners worksheet.
