A proper fraction is less than 1. Any positive number multiplied by a positive number less 1 will be less than itself. In multiplying two proper fractions, each one is being multiplied by a number less than 1.
The product will be less than the other factor.
That only happens if they're both improper fractions, i.e. greater than ' 1 '.
The factors are greater than the product.
If the two numbers have no prime factors in common, their LCM will be their product. If there are prime factors in common, their LCM will be less than their product.
If there are three factors, then one of them being less than 1 does not imply anything about the product of all three and either of the other two factors. For example, 2 = 0.5*1*4 where the first factor is less than 1. The product 2 is less than one of the other factors but bigger than the last.
Certainly. -31/2 and -41/2 are both less than 1 and their product is 15.75
Regular fractions are the fractions with a numerator that is less than the denominator and irregular fractions are fractions with a denominator less than the numerator.
Fractional multiplication results are always less than any of the factors. You can't hit ugly with an ugly stick and expect to get pretty. The above answer is only true is both your fractions are non-negative (in addition to being less than 1.
A number multiplied by 1 is equal to the original number. So: For fractions where the numerator (top) is LESS than the deonominator (bottom), the product will be LESS than the original number, because the fraction has a value of LESS than 1. For fractions where the numerator is MORE than the denominator, the product will be MORE than the original number because the fraction has a value of MORE than 1. For fractions where the numerator and denominator are the same, the product will be the same as the original number because the fraction has a value equal to 1.
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.
Yes. Consider two negative fractions. Since they are negative, both are less than 1. But their product is positive and so greater than either.
If the two numbers have no common factors other than 1, the LCM will be their product. If there are other common factors, the LCM will be less.
That's only true if the fractions are "proper" fractions ... with numerator smaller than denominator. The reason is: If you take (a piece less than the whole thing) out of (a piece less than the whole thing), you wind up with a piece smaller than either of the original pieces.
The concept of factors is appropriate only for integers. In the case of fractions, every non-zero number is a factor of any number. [For example, 1/5 is a factor of 3/4: 1/5 goes into 3/4 exactly 3 3/4 times.] The product of two number is less than either number if both of them are in the interval [0, 1) or if one of them is negative and the other is greater than 1.
Yes. Natural numbers are counting numbers, equal to or greater than 0. The only ways a product can be less than its multiplicands is when multiplying fractions by fractions or multiplying a positive number by a negative number.
Pairs with common factors other than 1.
If there are no prime factors in common, the LCM will be the product. If there are prime factors in common, the LCM will be less than the product.
It is not: they are the same. A "product" and "multiple" are synonyms.
2/3 x 3/5
No, you cannot. The answer can be greater than (or less than) neither, one or both numbers.For example,-4.5 and -2.2 are both less than 1. Their product is 9.9 which is greater than both.-4.5 and 0.2 are both less than 1. Their product is 0.9 which is less greater than one and less than the other.0.5 and 0.2 are both less than 1. Their product is 0.01 which is less than both.
It need not be. The numbers 1/2 and (-1/2) are both fractions less than 1 but their quotient is -1, which is less than both the fractions.
23 is a prime and so its only factors are 1 and 23. The product will be smaller than 23 but it is not possible to be certain how the product will compare with 1.