5/27/22, 3:28 AM Multiplying Fractions
Fractions:
Multiplying Fractions
Now that we’ve learned how to add and subtract fractions, we will learn how to multiply fractions.
Multiplying fractions is a lot simpler than adding or subtracting fractions because we don’t need
to find a common denominator, instead we just multiply across numerators and denominators.
The following video will explain why this works and show a few examples.
0::48 1x
Video Source (05:48 mins) | Transcript
When multiplying fractions we simply multiply the numerators together and the denominators
together. Remember, any whole number can be represented as a fraction by putting it over 1.
Example: 3 =
3
1
Reduce when needed.
Example when reducing is not needed:
2 2 2⋅2 4
⋅ = =
5 3 5⋅3 15
Example when reducing is needed: 2
5
⋅
3
4
=
2⋅3
5⋅2⋅2
=
2
2
⋅
3
5⋅2
= 1 ⋅
3
10
=
3
10
Additional Resources
Khan Academy: Introduction to Multiplying 2 Fractions (05:05 mins, Transcript)
Khan Academy: Multiplying 2 Fractions: Fraction Model (04:56 mins, Transcript)
Khan Academy: Fractions - Number Line (04:45 mins, Transcript)
Khan Academy: Multiplying 2 Fractions: 5/6 x 2/3 (02:25 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-9-2.html 1/2
Fractions:
Multiplying Fractions
Now that we’ve learned how to add and subtract fractions, we will learn how to multiply fractions.
Multiplying fractions is a lot simpler than adding or subtracting fractions because we don’t need
to find a common denominator, instead we just multiply across numerators and denominators.
The following video will explain why this works and show a few examples.
0::48 1x
Video Source (05:48 mins) | Transcript
When multiplying fractions we simply multiply the numerators together and the denominators
together. Remember, any whole number can be represented as a fraction by putting it over 1.
Example: 3 =
3
1
Reduce when needed.
Example when reducing is not needed:
2 2 2⋅2 4
⋅ = =
5 3 5⋅3 15
Example when reducing is needed: 2
5
⋅
3
4
=
2⋅3
5⋅2⋅2
=
2
2
⋅
3
5⋅2
= 1 ⋅
3
10
=
3
10
Additional Resources
Khan Academy: Introduction to Multiplying 2 Fractions (05:05 mins, Transcript)
Khan Academy: Multiplying 2 Fractions: Fraction Model (04:56 mins, Transcript)
Khan Academy: Fractions - Number Line (04:45 mins, Transcript)
Khan Academy: Multiplying 2 Fractions: 5/6 x 2/3 (02:25 mins, Transcript)
https://content.byui.edu/file/b8b83119-9acc-4a7b-bc84-efacf9043998/1/Math-1-9-2.html 1/2
