Simplifying Complex Fractions
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Objective
I can simplify complex fractions using various methods.
Part 1 of 4
Warm-up video
mathantics · 8:31Vetted channel
We don't generate video — this one is by mathantics on YouTube. The practice questions and exit ticket below were drafted by AI for this objective, and every question is editable in the teacher guide.
Part 2 of 4
Key concepts
3 concepts
- 1
Simplifying a fraction means rewriting it using the smallest top and bottom numbers possible without changing the value of the fraction.
- 2
To simplify fractions: First, replace the top and bottom numbers with their prime factors. Then, cancel any common factors. Finally, re-multiply any remaining factors.
- 3
If you cancel out all factors on the top of a fraction, remember to put a 1 in its place, because 1 is always a factor of any number.
Part 3 of 4
Practice
3 questions
What does it mean to simplify a fraction, and why is it useful?
Simplify the fraction 42/56 using the prime factorization method described in the video. Show each step.
Part 4 of 4
Exit ticket
Quick comprehension check
“Simplify the fraction 42/56 by factoring the numerator and denominator into their prime factors and canceling common factors.”
Sample answer included in the free materials
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