Math - Fraction Multiplication – Khan Academy Help Center

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Alex

13 november 2020 10:02

I think there should be a video on why multiplying the numerators and the denominators works, because even with the visual exercises, it still doesn't make intuitive sense what all the numbers and the simplifications and the result really mean. Having 6/7 × 8/9 = 6×8/7×9 = 48/63 quickly calculated gives me no deeper understanding of what's going on. Having instead to think about what 6/7 of 8 is, it's very intriguing, and sends you on the path of discovering yourself how multiplying fractions works. You can't know what 6/7 of 8 is, because 7 doesn't go into 8 evenly. So we need to find and equivalent fraction for 8/9 that is divisible by 7. So 6/7 × 56/63. But what is 6/7 of 56? No idea. Ok, what's 1/7 of 56? Well, it's 8, our original numerator ( now I understand why multiplying numerators works ). Now we just need to multiply 6 × 1/7 of 56/63, and we just found out that 1/7 of 56/63 is 8/63, so 6 × 8/63 = 48/63

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Emma

21 maart 2021 00:54
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You need to first make sure to convert both fractions into an improper Fraction before you can Multiply them, so like Adding and Subtracting Fractions check it first. The fraction that's just a Whole Number like the 8 write it as 8/1 before you start Multiplying the two fractions together, and that makes sense to do that because 8 is 8 Wholes so 8/1.

This link will help explain how to do that: https://www.tutorialspoint.com/mixed_numbers/multiplication_of_mixed_number_and_whole_number.htm

So make sure you've learned how to convert improper fractions into mixed numbers and mixed numbers into improper fractions, there are videos on it in the Fractions Unit in the Arithmetic Section which you can just add to your Profile to quickly access it if you need to.

Make sure for Adding and Subtracting Fractions that you've learned how to convert them to have the Same Denominators too because Fractions need to be equal, Fractions as a subject works on Equivilancy since each piece needs to be equal pieces.

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Math - Fraction Multiplication

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