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Q: Is it always necessary to find the LCD to compare the sizes of fractions explain?

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When comparing fractions you must find a common denominator; by finding the least common denominator it will keep the numbers (numerators and denominator) smaller .

Controlled variables are always necessary in an experiment. This is because a baseline is needed to compare the results to.

what is 2+@

Sometimes it is easier to work with fractions that are not reduced. For example, if you wanted to compare whether 6/10 or 13/20 was larger, you would not need to reduce 6/10; in fact you would want to rewrite 6/10 as 12/20 so you could compare.

not always,only when you need to

Fractions! Otherwise you don't have anything to add.

The first step, to add, subtract, or compare fractions, is always to convert the fractions to equivalent fractions, that all have the same denominator. You can use one of several techniques to get the LEAST common denominator, or simply multiply the two denominators to get a common denominator (which in this case may, or may not, be the smallest common denominator).

Not always. There are times when division of fractions results in a non-improper fraction.

Fractions will always equal 1 when their numerator is the same as their denominator

To compare two fractions, find a common denominator (multiplying the two denominators will always give you a common denominator), convert both fractions to the common denominator, then compare. Another - actually easier - way to compare two fractions is to convert both to decimal. Just pick up a calculator, and divide the numerator by the denominator.

Improper fractions are always > 1. Reason, the numerator (top) is always larger than the denominator(bottom). NB Improper fractions is the correct term for 'Top Heavy' fractions.

If the fractions are both proper fractions ... equivalent to less than 1 ... thenthat's always true ... the product is always less than either factor.

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