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Mixed Numbers: Carry Over
Learn what happens when fractions add up to a whole number — and when they don't!
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When you add mixed numbers, sometimes the fractions make an extra whole! Let's see how that works with animations! 🎉
Let's Go!
Adding Without Carry Over
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Sometimes the fractions don't make a whole — easy peasy! Let's see…
Example: 2
1
⁄
5
+ 1
2
⁄
5
2
1
5
+
1
2
5
Step 1:
Add the whole numbers: 2 + 1 =
3
Step 2:
Add the fractions:
1
5
+
2
5
=
3
5
Check:
Is
3
5
a whole?
No!
(3 < 5)
Answer:
3
3
5
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The fraction
3
5
is LESS than one whole, so nothing carries over. The whole numbers just add up normally! 👍
Show me step by step!
Next →
Adding WITH Carry Over 🎉
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Now the exciting part! What happens when the fractions add up to MORE than one whole?
Example: 2
3
⁄
5
+ 1
4
⁄
5
2
3
5
+
1
4
5
Step 1:
Add the whole numbers: 2 + 1 =
3
Step 2:
Add the fractions:
3
5
+
4
5
=
7
5
Check:
Is
7
5
a whole?
YES! 7 > 5
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Carry over:
7
5
=
5
5
+
2
5
=
1
whole +
2
5
+1 whole carries over!
Final:
3 wholes + 1 carried =
4
2
5
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The extra whole "carries over" to the whole numbers! Just like when you add 8 + 5 and carry the 1 in normal addition! 🌟
Show me step by step!
What happens next?!
Next →
No Carry vs Carry Over
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Let's compare them side by side so you can see the difference!
✅ No Carry Over
1
2
6
+ 2
1
6
Wholes: 1 + 2 =
3
Fractions:
2
6
+
1
6
=
3
6
3 < 6 →
No carry!
= 3
3
6
💥 Carry Over!
1
4
6
+ 2
5
6
Wholes: 1 + 2 =
3
Fractions:
4
6
+
5
6
=
9
6
9 > 6 →
Carry over +1!
= 4
3
6
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The golden rule:
if the top number is equal to or bigger than the bottom number, you carry over!
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Try It Yourself!
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Does this one carry over or not? Look at the fractions!
?
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Work out the answer — watch for carry over!
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Last practice! You've got this! 💪
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🎉 Well Done!
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