Reduce the given fraction into its simplest form:
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Reduce the given fraction into its simplest form:
We need to identify the highest common factor (HCF): The largest number that both the numerator and the denominator can be divided by.
In this case, the number is 3, therefore:
Without calculating, determine whether the quotient in the division exercise is less than 1 or not:
\( 5:6= \)
List the factors of both numbers: 12 has factors 1, 2, 3, 4, 6, 12 and 15 has factors 1, 3, 5, 15. The largest number that appears in both lists is your HCF - in this case, 3!
Start with small common factors like 2 or 3. You can simplify step by step! For example, if you divided by 3 first, you could check if the result can be simplified further.
A fraction is in simplest form when the numerator and denominator have no common factors except 1. Check: 4 and 5 only share the factor 1, so is fully simplified!
No problem! If you use a smaller common factor first, you can always continue simplifying. For instance, dividing by 1 won't change anything, and dividing by 2 would only work if both numbers are even.
The original explanation has an error! When we divide by 3, we get , not . Always divide both the numerator and denominator by the same number.
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