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Is it always necessary to find the least common denominator to compare the sizes of fractions?

It is not always necessary to find the least common denominator to compare the sizes of fractions. When comparing fractions with the same denominator, you can simply compare the numerators. If the denominators are different, you can find a common denominator by multiplying the denominators together, but it is not always required for comparison. Alternatively, you can convert the fractions to decimals for easier comparison in some cases.


when adding mixed numbers,is it always necessary to write the sum as a mixed number Explain?

what is 2+@


Why not always reduce fractions to lowest terms?

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.


What strategies can be used to multiply and divide fractions?

To multiply fractions, simply multiply the numerators together and the denominators together, then simplify if necessary. For division, invert the second fraction (take its reciprocal) and then multiply as you would with multiplication of fractions. Always remember to simplify the result if possible for a clearer answer.


How to add fractions having similar numerators but different denominators?

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).


Is four sevenths the same as two fifths?

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.


Do you always simplify fractions?

not always,only when you need to


When dividing fractions does the answer always end with an improper fraction?

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


What is always needed to add fractions?

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


What fractions will equal to 1?

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


How do you simplify complex fractions and unit rates?

To simplify complex fractions, start by rewriting the fraction as a division problem, where the numerator is divided by the denominator. Then, find a common denominator for any fractions within the numerator or denominator and combine them. For unit rates, divide the two quantities to express the rate in terms of one unit, making it easier to compare. Always ensure to simplify any resulting fractions or decimals for clarity.


Can be the improper fractions less than 1?

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.