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Equal proper fraction - your fraction converted into proper form i.e.The specific thing of top heavy fractions is that their numerator is greater than denominator. Fraction presented here will be different from original one, only if your input fraction contains wholes part. Equal improper fraction (top-heavy fraction) - your fraction converted into improper form i.e.Fraction you entered - simply your fraction in original form once again.Results - informations about your fraction - here you can see your fraction after various transformations, it means that your fraction still has the same numerical value, but it's presented in different, alternative form.Quick reminder: the fraction consists of numerator (part "above fraction mark"), denominator (part "below fraction mark") and - optional, in case of mixed fractions - wholes part (number "before fraction"). Inputs data - fraction, which you're going to explore - simply enter your fraction in any form you have (proper, improper etc.) here.What is the meaning of each calculator field ? # Factorization of numerator and denominator can be helpful during reducing the fraction, beacuse it makes easier to see common numerator and denominator divisors, which would be used to reduce it.Prime numbers have only two divisors: one number and self.Factorization is converting given number into product of prime numbers.You should see your fraction with numerator and denominator presented as product of prime numbers (factorized). Factorization of numerator and/or denominator - to do this enter numerator, denominator and optionally wholes part of your fraction and then go to factorization of numerator and denominator section.It means that there could be more than one way to found the simplest form of your fraction. It often happens that the same fraction can be reduced more than one time by searching for the next and then again for the next numerator and denominator divisors.In this case fraction is reduced as much as possible and there is no way to reduce it more. We say that fraction is given in the simplest form if there is no common divisors of it's numerator and denominator.To reduce your fraction you should divide numerator and denominator by their common division.Reduction does not change fraction value - it's still the same fraction (it's the same amount, the same value), but presented in alternative form e.g.You should see your fraction in the simplest form and steps showing how to find it on your own here. Reduction (finding of the simplest form) - to do this enter numerator, denominator and optionally the wholes part of your fraction and then go to reduction section.The fractional part of proper fractions is always lower than one.To convert improper fraction (top-heavy) into proper one you should factor out wholes part before fraction bar e.g.We say that fraction is given in proper form if it's numerator is lower than denominator.Your fraction converted into proper form should be there. Convert improper fraction into mixed (proper) form - to do this, enter numerator (greater than denominator) and denominator of your fraction and then go to simple conversion → equal proper fraction section.For example 3/2 of bar of chocolate is the same as 1 and 1/2 bar, so it's more than one bar. Improper fraction (top-heavy) is always greater than one.The extension progresses to sorting mixed numbers, decimals, and fractions in relation to 1.C × a b = C × b + a b C \times \dfrac C × b a = b C × b + a During this part, ask students to provide examples of fractions for the class to sort. Part 2 offers continued practice with placing fractions in each of the 3 categories of less than 1, equal to 1, and greater than 1. ![]() Be sure there’s a balanced number of fractions in each category. Part 1 asks the class to determine whether given fractions are less than 1, equal to 1, greater than 1. If students found this activity hard, you may want them to go over the finished lists and try to articulate the rule. Students who are successful at this have already generalized the rule: fractions greater than 1 have numerators larger than their denominators those that are less than 1 have numerators smaller than their denominators the rest are equal to 1. Students will determine if given fractions are less than, equal to, or greater than 1. Include this visual/chart on the whiteboard
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