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How are proper and improper fractions different?
proper factions are fractions under a whole number improper fractions are Example: proper: 1/2 improper: 3/2
Why is the product of two proper fractions less than either of the fractions?
A proper fraction is less than 1. Whenever you multiply something by a number < 1, the result (product) is less than the original number. So when you multiply a proper fraction by a number less one (such as another proper fraction, the product is less than the original proper fraction. The only time a product involving a given number is larger than the given number is when you multiply the given number by a number that is > 1. Since all proper fractions are < 1, products involving them are always less than the original given number.
How is the product of a proper fraction and a whole number similar to the product of 2 proper fractions?
Any whole number, n, can be written as the fraction n/1.Multiplication of a fraction, p/q by a whole number n is the same as multiplying p/q by n/1.Furthermore, the process of multiplying proper fractions and improper fractions is the same and that gives the equality of the two processes.
How can fractions be expressed?
Two ways. 3 and 1/2 or 7/2. That's proper and improper fractions.
What is the counter example of the quotient of two proper fractions is a proper fraction?
(1/2) / (1/3) = 3/2 = 11/2, which is not a proper fraction.
When you multiply two fractions why is the product smaller than the fractions?
if 1/2 x 1/3 then times it and get 1/6
Why is the product of two positive proper fractions always less than either fraction?
because when you multiply the denominators it creates a much smaller proportion. for example multiply 0.5 by 0.5, the result is 0.25 in fractions it is 1/2 x 1/2, the result 1/4
How do you find the product of fractions?
The product of fractions is found by multiplying the fractions. You multiply the numerators and the denominators. For example. 1/2 and 1/3 have a product of 1/6 since 1x1 is 1 and 2x3 is 6 Here is another example. 2/3 x3/4 is 6/12 which is another name for 1/2.
Who do fractions get smaller when you multiply them by another fraction?
It depends on what type of fraction it is. If the fractions are improper fractions, the product will be greater than the two fractions multiplied together. (Ex: 3/2 x 5/4 = 15/6 or 5/2. 5/2 is greater than 3/2.) If the fractions both have 1 as a numerator, the product is smaller. (Ex: 1/3 x 1/6 = 1/18. 1/18 is less than 1/3.) Any other fractions, it would depend on what fractions you're multiplying. Remember, you are multiplying the numerator by the other numerator and the denominator by the other denominator. (Answer Product of numerators/Product of denominators)
What fractions have one half as the product and the difference?
The two pairs of numbers are (1, 1/2) and (-1/2, -1).
What two fractions have the same product as one third?
1/3 1/2 = 2/6 which is 1/3
What are the different forms of fractions?
1. Proper Fractions where the numerator is less than denominator. 2. Improper Fractions or top-heavy fractions where the numerator is greater than denominator.
