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Math with Menno・13 minutes read
The video demonstrates calculating with fractions through three examples, showing how to reduce, combine, and divide fractions by creating common denominators and simplifying the expressions. By following the steps of making denominators the same, multiplying by the inverse, and simplifying, viewers can successfully manipulate fractions to get the desired results.
Insights
- To calculate with fractions, ensure denominators are the same by multiplying to create a common denominator, then subtract or combine numerators accordingly.
- Multiplying fractions by the inverse involves flipping the second fraction, leading to simplified expressions that can be equivalent to whole numbers.
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Recent questions
How do you calculate fractions with different denominators?
By multiplying to create a common denominator.
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Summary
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Calculating Fractions with Common Denominators
- Video focuses on calculating with fractions using three examples
- First example involves reducing 2/3a - 3/2a by making denominators the same
- To make denominators equal, multiply them by numbers that create a common denominator
- Multiplying 3a by 2 and 2a by 3 creates a common denominator of 6
- After multiplication, separate fractions and subtract numerators to get -5/6a
- Second example involves making denominators the same for 2/x-1 and 3/x+2
- To make denominators equal, multiply them together to create common denominators
- After multiplication, combine fractions and simplify to get -x+7/x-1
- Third example involves dividing 2/x+3 by 3/2x+6 by multiplying by the inverse
- Multiplying by the inverse involves flipping the second fraction
- Simplifying the expression results in 4/3, which is equivalent to 1 1/3
