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Q: How are improper fractions and mixed numbers alike?

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Mixed numbers can be converted to improper fractions. Improper fractions can be added the same way proper fractions are.

if you have mixed numbers you make them into improper fractions before you multiply

Change the mixed numbers to improper fractions, find a common denominator and proceed.

In case of Proper fractions the numerator is lesser than the denominator. Whereas in case of improper fractions and mixed fractions the numerator is greater than denominator.

Change the mixed numbers into improper fractions and carry out the calculations accordingly

Convert any mixed numbers to improper fractions. Once you have a fraction (proper or improper) do the division. 2/4 = 2 divided by 4 = 0.5

no.

turn them into improper fractions

Mixed numbers can be converted to improper fractions. Then, it is exactly the same as adding proper ones.

The easiest is to convert both mixed form numbers to improper fractions, do the subtraction (as normal1) and if the result is an improper fraction convert it to mixed form. 1 by converting the improper fractions to equivalent [improper] fractions with a common denominator and subtracting the resultant numerators.

Convert them to improper fractions and proceed.

First you would want to change the mixed number to an improper fraction. Then you can subtract

Improper fractions can be changed into mixed numbers as for example 9/4 = 2 and a 1/4

Mixed numbers usually become improper fractions, not whole numbers.

you do what makes sense given the numbers, if the fractions work out beautifully, you can just leave them as mixed numbers, otherwise it's best to keep them as improper fractions

2 2/7 (mixed). 16/7 is already improper.

For addition, subtraction, division and multiplication with other fractions

You turn the mixed number into an improper fraction then multiply by the reciprocal.

Convert the mixed number to an improper fraction and proceed normally.

Change the mixed numbers into improper fractions. Multiply and then change back to a mixed number in reduced form as necessary.

Change them into mixed numbers and add the integers and fractions together ensuring that the fractions have a common denominator.

First convert the mixed numbers into "top heavy (or "improper) fractions". Now multiply each of the improper fractions by each other - this makes the denominators the same. Now you can add both the fractions together (and cancel down if necessary).

Convert the fractions into equivalent fractions with the same denominator. In actually adding mixed numbers, it is easier to convert the mixed numbers into improper (top heavy) fractions, do the addition, simplify the resulting fraction and convert any resulting improper fraction back into a mixed number.

To find a volume you usually need to multiply values together. When working with mixed numbers it is usually easier to convert them into improper fractions, do the calculations and convert any resulting improper fraction into a mixed number. So you don't need to use either format, it's just that improper fractions are easier to manipulate.

How to convert improper fractions to mixed numbers