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A mixed number is one where there is a whole number and a fraction. If the whole number is 0 there is no whole number and all that remains is the fraction.

All improper (top heavy) fractions can be converted to a mixed number.

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โˆ™ 2015-10-27 21:43:08
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Q: Do all fractions convert to a mixed number?
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Why is it necessary to convert mixed fractions to improper fractions before multiplying or dividing?

Multiplying mixed fractions is very cumbersome and prone to errors. Therefore, it is prudent to convert them to improper fractions. Once that is done, you may simply find the product of all the numerators and divide that by the product of all the denominators. Then you convert back to a mixed number. And there are lots of tricks -- like "canceling out" -- that you can do to simplify the multiplication. Unfortunately, those techniques are very difficult to demonstrate here. It would not be even if it is not an improper fraction and that's why you have to convert

When is it necessaryto rename a mixed number when subtracting?

When doing sums with mixed numbers, it is often easier to convert the mixed numbers to improper fractions, do the sum and convert any resulting improper fraction back to a mixed number. This is especially true of division, but with subtraction, if the fraction part of the second mixed number is larger than the fraction part of the first mixed number (subtracting the second from the first), this will result in requiring borrowing from the whole number of the first mixed number. Using improper fractions avoids this complication and makes all sums easier.

How do you do compare and order fractions and mixed numbers?

It may be simplest to convert them all to a common form: rational fractions, decimal fractions or percentages and then compare them. When you are more expert, you may be able to convert them pairwise into a common basis and compare.

How can you convert to proper fractions?

It depends on what you want to convert to proper fractions. Not all things can be converted to proper fractions.

How do you calculate the sum of fractions?

If the fractions do not all have the same denominator, find a common multiple of the denominators (ideally the lowest common multiple) and convert the fractions to equivalent fractions with this denominator. Now with all the fractions with the same denominator, add together the numerators. Finally, reduce the fraction to simplest terms, converting any improper fraction to a mixed number.

Should all improper fractions be converted to mixed fractions?

Yes they should

Is 2.7064 rational or irrational?

This number is rational - all fractions, including decimal fractions and mixed numbers are rational.

How do explain a mixed number into a decimal?

A decimal is one way of representing numbers which may be whole or fractions. So, a mixed number which by definition is a number, can be expressed as a decimal. That explains it all!

How do you find the sum of all fractions?

Make sure the denominators of all the fractions are common.Add all numerators.Reduce the final fraction to its simplest form.Convert improper fraction to mixed number if needed.

Is mix number always greater than a whole number?

no. lets use 10,000,000,000,000, which is a whole number, and 1 1/2, which is a mixed number. all a mixed number is is a mix of fractions and whole numbers,

What is a definition for ordering fractions?

to order fractions you can cross multiply two fractions at a time or you can convert all the fractions into decimals.

When given a problem with decimals and fractions should you convert them to all decimals or all fractions?

It really doesn't matter whichever one you are more comfortable with. fractions are a bit more challenging to convert.

How do mixed numbers become improper fractions?

While mixed numbers are the natural choice for spoken English (and are therefore well-suited to the answers of word problems), they aren't generally the easiest fractions to compute with. In algebra, you will almost always prefer that your fractions not be mixed numbers. Instead, you will use "improper fractions", or fractions where the top number is bigger than the bottom number. The standard way to convert a mixed number to an improper fraction is to multiply the bottom number by the "regular" number, add in the top number, and then put this on top of the bottom number as a new fraction. For instance, to convert 11/2 to an improper fraction, you do the following:I multiplied the bottom 2 by the "regular" 1, and then added in the 1 from on top, getting 3. Then I put this 3 on top of the 2 from underneath. Copyright © Elizabeth Stapel 2000-2011 All Rights ReservedConvert to an improper fraction.Convert to an improper fraction.To go from an improper fraction to a mixed number, you do the long division. Remember that a fraction is just division. Divide the top number by the bottom number. Whatever you get on top of the division symbol is your "regular" number. Whatever your remainder is, put that number on top of the number you divided by. (To convert to mixed numbers, don't use decimals. Just find the quotient and the remainder. Then stop.)Convert to a mixed number.First, I do the long division to find the whole-number part (being the quotient) and the remainder:Since the remainder is 1 and I'm dividing by 4, the fractional part will be 1/4.

How do you divide mixed numbered fractions with whole numbers?

Convert the mixed number into an improper fraction (multiply denominator by whole number, add numerator, put it all over the denominator) and multiply the improper fraction by the reciprocal of the number (1/the number). For example: 1 3/4 divided by 4 First convert to improper fraction: 1 3/4 = 7/4 Then multiply by reciprocal: (7/4)*(1/4) = 7/16

Is 2 and a half a complex number number?

2 ½ is called a mixed number (a whole number and a fraction), not complex.Complex number means there can be real and/or imaginary parts to a number. Without confusing you though, complex numbers include all of the real numbers (which include all fractions and mixed numbers).

How do you find the average of a mixed fraction?

Same as any average. Add all the fractions and divide them by the amount of fractions

What fractions can be labeled on a number line with a line plot?

All fractions can be labelled on a number line.

How you can decide which fraction has the greatest value?

Convert them all into equivalent fractions with the same denominator. Then compare the numerators. Or, convert them all into decimals.

Can 11 and 1 eighth be written as a proper fraction?

A fraction is made up of two parts: a numerator (top number) and a denominator (bottom number). There are 3 types of fractions: Proper, Improper, Mixed. A proper fraction is one where the numerator is smaller than the denominator. An improper fraction is one where the numerator is larger or equal to the denominator. A mixed fraction is one with a whole number and a proper fraction together. 11 1/8 is a mixed fraction, and can be written as the improper fraction 89/8. It is impossible to write it as a proper fraction because the numerator is larger than the denominator. Also, all mixed fractions are improper fractions and no improper fractions can be written as proper fractions.

How do you solve 1 and one third times 2 and one fourth times 3 and one fifth?

This can be done in different ways, but it is probably easiest to convert all the mixed fractions to improper fractions first. Then multiply all the numerators, and all the denominators. You can do simplifications either before multiplying, or after multiplying.

What happens when you divide a fraction by itself?

you change all mixed numbers to improper fractions.

When multiplying mixed numbers do you have to multiply the whole numbers or just the fractions?

More than that. You need to multiply the whole number, the farctions AND cross multiply the whole numbers and the fractions. Then add together all the answers. Thus, 23/4 * 56/7 = 2*5 + (3/4*6/7) + 2*6/7 + 3/4*5 Actually, it is far simpler to convert the mixed fractions to improper (top heavy) fractions, and then multiply the numerators together to give the numerator of the answer and multiply the denominators together to give the denominators of the answer.

Fractions and decimals?

Fractions and decimals are different ways of notating the same thing: a number that falls between two whole numbers. In its simplest form, think about a distance or a value that is exactly halfway between 3 and 4 of something. As a mixed number, that would be 3 and 1/2 As a fraction, that would be 7/2 As a decimal, that would be 3.5 Some people refer to mixed fractions or decimal fractions to underscore the fact that they're all the same.

What numbers are not integers?

Everything is, since there's no such thing as an "interger".If you'd like to discuss integers ... those are whole numbers. So they don't includeirrational numbers, transcendental numbers, mixed numbers, fractions in which thenumerator is not a multiple of the denominator, and any number with a decimal pointwhere the point is followed by anything other than all zeros.

What are all the equivalent fractions of 1 over 2?

It is not possible to list ALL the equivalent fractions because there is an infinite number of them.