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2 years ago
ยท
126 Replies
ยท
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Jermain Ankunding
Use our concise notes and diagrams to only revise what you need to know.
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126 Answers
Qualified Teacher / PhD
4 reviews
Hi Jermain,
Here's how you can simplify a fraction:
Hope this helps :)
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Click here to view my profile and arrange a free introduction.To simplify a fractions you must divide both the top and the bottom number by the same amount until your answer is no longer a whole number.
For example: 15/35 simplified is 15 divided by 5 is 3 and 35 divided by 5 is 7. So our answer is 3/7
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You will need to find out the factors shared by the denominator and numerator. Once you can find the shared factors, the fraction can be simplified by dividing the denominator and the numerator by the same factors. It is common that this process might have to be repeated a few times until no more shared factors can be found. For example, 20 / 100 = (20 / 2) / (100 / 2) = (10 / 2) / (50 / 2) = (5 / 5) / (25 / 5).
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Find the highest common factor of the numerator and denominator and divide them both by that specific HCF.
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Find the largest number which both parts of the fraction are divisible by.
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Friendly 3rd Year Dental Student with 4 Years of Tutoring Experience
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The best way is to look for the highest common factor of the numerator and denominator. For example 25/50. Both numerator and denominator can be divided by 5 to give 5/10. However, 5 is just a factor of 25 & 50, it's not the highest common factor. That would be 25, giving the answer of 1/2.
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Click here to view my profile and arrange a free introduction.Find the highest common multiple between the numerator and the denominator. Then divide both the numerator and denominator by that factor.
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3 Steps for Simplifying Fractions
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Enthusiastic Organic Chemistry tutor | A-Level
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Find a common factor of both the denominator and numerator, and divide them both by the factor found.
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I'm available for 1:1 private online tuition!
Click here to view my profile and arrange a free introduction.To simplify a fraction take the the following steps.
. Write out the two part of the fraction; numerator and denominator
. Write out the factors of the two part differently
. Look for the greatest common factor for the two part
. Divide each part with this common factor
. Write the answer in the position of the part.
Example:
8/32
factors of 8: 1, 2, 4, 8
Factors of 32: 1, 2, 4, 8 ,16, 32.
Looking at the factors 8 is the most common
Then,
8รท8 =1
32รท 8= 4
8/32=1/4
Answer = 1/4.
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KS3/4 Secondary Maths teacher with daytime availability.
In order to simplify a fraction, you must find a number that both the numerator and denominator divide by. For example, if the fraction was 10/30, then 10 and 30 can both be divided by 10. If you divide them by 10 then you end up with 1/3 which is the simplest form.
If you divide by the Highest Common Factor (HCF) of both numbers then you can simplify in one step - otherwise you will have to keep dividing until you can't anymore.
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Click here to view my profile and arrange a free introduction.You can simplify a fraction by finding a common factor, dividing by it, and repeating until the only common factor is 1:
1)Find a common factor
2)Divide the numerator and denominator by that common factor
3)Repeat until the only common factor is 1
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Look at the numerator and the denominator and see if they would appear in the same times table (apart from 1x!) If so, divided them both by this number. Repeat this step if necessary until they have no multiple in common.
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2/4 becomes 1/2 as the 2 x table is in both numbers .. 2s in 2 is 1 and 2s in 4 is 2
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Find the highest common factor (HCF). Divide both the numerator and denominator by their HCF.
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