You're working on adding two fractions:
9/5 + 14/7
The image shows the first step — converting
9/5 to a fraction with denominator 35 by multiplying numerator and denominator by 7:
>
9/5 × 7/7 = 63/35
That’s correct! But you’re not done yet. You also need to convert
14/7 to have the same denominator (35) before you can add.
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Step-by-step Solution:
#### Step 1: Find a common denominator
The denominators are 5 and 7. The least common denominator (LCD) is
35 (since 5 × 7 = 35).
#### Step 2: Convert each fraction to have denominator 35
✔ First fraction:
9/5 = (9 × 7)/(5 × 7) = 63/35 ← Already shown in your image
✔
✔ Second fraction:
14/7 = (14 × 5)/(7 × 5) = 70/35
*(We multiply numerator and denominator by 5 to get denominator 35)*
#### Step 3: Add the fractions
Now that both have the same denominator:
>
63/35 + 70/35 = (63 + 70)/35 = 133/35
#### Step 4: Simplify the result
Check if
133/35 can be simplified.
Find GCD of 133 and 35:
- Factors of 35: 1, 5, 7, 35
- 133 ÷ 7 = 19 → So 133 = 7 × 19
So GCD is
7
Divide numerator and denominator by 7:
>
133 ÷ 7 = 19
>
35 ÷ 7 = 5
→ Final answer:
19/5
You can also write it as a mixed number:
19 ÷ 5 = 3 with remainder 4 → 3 4/5
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✔ Final Answer:
19/5 or
3 4/5
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📝 Note:
Your image only showed converting the first fraction. To complete the problem, you must convert *both* fractions to the common denominator and then add them.
Also, notice that
14/7 simplifies to
2 right away — so you could have also solved this as:
>
9/5 + 2 = 9/5 + 10/5 = 19/5
That’s a faster way! But since the image shows you’re learning to use common denominators, the longer method is good for practice.
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Let me know if you want to see it visually or with diagrams!
Parent Tip: Review the logic above to help your child master the concept of adding unlike fractions.
