Understanding Operations on Mixed Numbers
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Beginner
Start here! Easy to understand
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Beginner Explanation
Mixed numbers have a whole and a fractional part. To add or subtract them, first convert each to an improper fraction by computing $\frac{\text{whole} \times \text{denominator} + \text{numerator}}{\text{denominator}}$. Then perform the operation on fractions over a common denominator. Finally, convert the result back to a mixed number by dividing the numerator by the denominator.
Practice Problems
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1
Quick Quiz
Single Choice Quiz
Beginner
What is $3 \frac{2}{5} + 4 \frac{1}{5}$?
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2
Real-World Problem
Question Exercise
Intermediate
Teenager Scenario
You bought $2 \frac{1}{4}$ meters of cloth, but used $1 \frac{3}{8}$ meters. How much cloth is left?
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3
Thinking Challenge
Thinking Exercise
Intermediate
Think About This
Multiply $3 \frac{1}{2} \times 2 \frac{3}{4}$ and simplify to the simplest form.
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4
Challenge Quiz
Single Choice Quiz
Advanced
Divide $5 \frac{1}{2} \div 1 \frac{1}{4}$ and simplify.
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