Question
I Fractions
Addition or subtraction of mixed numbers with the same denomin
Addition or subtraction of mixed numbers with the same denomin
Ask by Sherman Barber. in the United States
Mar 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Solution
-
Separate whole numbers and fractions:
-
Add whole numbers:
-
Add fractions:
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Combine the sums:
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
To add
, you can first convert both mixed numbers into improper fractions. For
, it’s
(since
) and for
, it’s
(since
). Now add the two improper fractions:
Convert back to a mixed number:
. So,
.
Adding fractions is like sharing slices of pizza — the more friends you gather, the more slices you can combine! Just remember to keep the same size (or denominators) when you share the slices. And don’t forget, if everyone has a few toppings (the numerators), you’ll need to add those too!
If you want to master mixed numbers, practicing with real recipes is a great way to get the hang of it. For example, if a recipe calls for
cups of flour and you want to double it, how much do you need? You’ll be mixing more than just numbers! Plus, as you bake, you’ll be naturally learning how to add and manipulate those fractions without even noticing the math behind the delicious treats!