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What is a fraction of a fraction?
A fraction of a fraction is yet another (usually smaller) fraction. For example 1/4 of 1/3 = (1x1) / (4x3) = 1/12 Only when both or one of the fractions is an "improper" fraction (larger than 1) does the multiplication give a result that is larger than the beginning fractions. For example : 7/4 x 3/5 = 21/20 = 1 1/20
When multiplying a fraction by a fraction why do you get a smaller fraction?
Fractions are just numbers. If you multiply a number by one, you get the same number. If you multiply a number by a number smaller than 1, you get a smaller number. If you multiply a number by a number bigger than one, you get a larger number. Dealing with fractions doesn't really tell you anything about the result of your operations.1 = 1/1 = 2/2 = 50/50 = etc.5 = 1/2 = 2/4 = 3/6 = etc2 = 4/2 = 8/4 = 12/6Fractions are just a form of representing a number. Sometimes they are simpler to visualize than long decimals, such as .555555555. But that decimal number is the same as 5/9, a nice and simple expression in fraction form. And you can usually multiply a fraction in your head, versus a decimal. What is .1818181818 * .25? Well its the same as 2/11 * 1/4 which is 2/44 or 1/22.An example of a non-decreasing fraction multiply is:1*2 = 1/1 * 2/1 = 2/1 = 2. 2 > 1, so this is a simple (and trivial) example of not getting a smaller fraction. You only get a smaller fraction when you multiply by values smaller than one. A fraction that is smaller than one is the denominator being larger than the numerator (1/2 or 12/28828 or whatever).Hope this clears up any confusions!Additional answerIf you substitute the word 'of' for 'times' in the sentence 'what is 4 times 5?' then you get 'what is 4 of 5?' = 20. If you say 'what is half of eight' then it is obviously 4 (which is smaller), thus answering your question.
The reciprocal of a fraction less than 1 is always a fraction greater than 1. Why is this?
The above statement is not true!-3/4 is a fraction which is less than 1. Its reciprocal is -4/3 which is also less than 1, NOT greater.
What fraction is larger than one-half but smaller than four-fifths?
1/2 and 4/5 is the same as 5/10 and 8/10 and so the fraction needed is 6/10 or 7/10
What number is bigger than 4 but is smaller than 1?
the question itself is wrong.No number which is bigger than 4 is smaller than 1.Its impossible
