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Q: What can you say about the product of a given fraction and a factor greater than 1?

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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.

There is no such number. Given any number, there is sure to be an important fraction that is smaller.

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.

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.

The Greatest Common Factor (GCF).

That's a factor pair.

In mathematical terms, factor pairs are numbers that combine to create a given product. The factor pairs of 12 are (12,1)(6,2)(4,3)

Choose any integer greater than 1. Multiply the numerator as well as the denominator of a given fraction by the chosen number. You will now have a new fraction that is equivalent to the old one.

0.533333333333333 can't be an improper fraction. Improper fractions are greater than 1.

That's known as the multiplicative inverse or reciprocal.

The appropriate fraction of a given shape.

Given any number, there is an even number that exists greater than it. That even number is a product: of 2 and some number. Therefore, the number that you started with is less than the product of a pair of numbers.

Multiply the given fraction by 1.

It can't be one. Improper fractions are greater than 1.

There is no such fraction, since given any fraction, half of that would be smaller still.There is no such fraction, since given any fraction, half of that would be smaller still.There is no such fraction, since given any fraction, half of that would be smaller still.There is no such fraction, since given any fraction, half of that would be smaller still.

GIven a fraction, p/q, multiply both the numerator (top) and the denominator (bottom) of the fraction by any non-zero integer or divide both by any common factor. You will have an equivalent fraction.

The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. If you find the GCF of the numerator and denominator of a fraction and divide them by it, you will find the simplest form of the fraction. If the GCF is 1, the fraction is already in its simplest form.