The product will have the same sign as the given fraction. Also, if it is a proper fraction, then the absolute value of the product will be between the absolute value of the fraction and the factor.
When the numbers have a common factor (other than 1).
Yes.
Add a positive number - fraction or integer - to the given fraction.
No.
1.
The reciprocal of the given number.
When you multiply two numbers greater than one, you create many groups of a given number, so the result is greater than either the number of groups or the number you created many groups of. When you multiply a number by a number less than one, you create less than one group of a given number. If you create only part of one group of a given number, it makes sense that the result will be less than the number you started with.
There is no such number. Given any number, there is sure to be an important fraction that is smaller.
You divide top and bottom by the same number, if you find a common factor. For example, if your fraction is 9/12, you check whether top and bottom have any common factor greater than one (in this case, the common factor is 3), and then you divide top and bottom by 3, to get 3/4.
If you divide the product of two given numbers by their GCF, the result will be their LCM.
use long division.
Given an improper fraction (a fraction greater than 1), we divide the numerator by the denominator. The quotient is the whole number part of the mixed number. The remainder is the numerator of the fraction part. The denominator is the same as the denominator of the original fraction. For example: Given the fraction 17/5. 17 divided by 5 is 3 with a remainder of 2. The answer is 3 2/5.