Solution: the fraction is 4/12, both of which are divisible by 2. You can verify the result using our simplifying fractions calculator online.Įxample task #2: You have a pizza with 12 slices and you were told that you can eat 4 out of the 12 slices. The result of this division is 1/5 which can be divided no further. Both of these can further be divided by 2, resulting in 5/25, which cannot be divided by 2 or 3, but can be divided by the next prime number - 5. Both the numerator and denominator can be divided by 2, resulting in 10/50 after the first simplification. Solution: the fraction 20/100 is proper since 20 < 100. Practical examples of fraction simplificationĮxample task #1: You read in a news source that a statistical survey revealed that 20 out of every 100 men in Spain are unemployed. Of course, in all cases it is quicker and easier to just use our online fraction simplification calculator above. The greatest common factor of 24 and 60 is 12, so by dividing 24/12 and 60/12 you get 2/5, exactly as using the first method. The more advanced method is to first find the greatest common factor (GCF), also known as the greatest common divisor (GCD), then divide the numerator and denominator by it. 2/5 can no longer be divided by the same number without remainder. For example, 24/60 can be divided by 2 to get 12/30, which can be further divided by 2 to get 6/15, which can then be divided by 3 to get 2/5. (prime numbers) until you can no longer divide both parts by the same number. The naive method is to try to divide (exactly, without remainder) the numerator and denominator by 2,3,5,7,9. For example, 13/3 will become 4⅓ with 4 being the whole part and ⅓ the fractional. Therefore, any fraction greater than 1 passed to this simplify fractions calculator will be converted to a mixed number with a whole and a fractional part. An improper fraction is defined as one in which the numerator is greater than the denominator. In simplification of improper fractions they will be converted to a mixed number. The above are examples of fraction simplification of proper fractions in which the numerator is smaller than the denominator. Through simplification, a fraction becomes as simple as possible, for example 10/20 becomes 1/2, and 4/9 becomes 2/3 in its simplest form. Simplifying fractions is the action of dividing the numerator and denominator (top and bottom) by the highest number that divide each of them exactly. Practical examples of fraction simplification.
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