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1. change the dissimilar fractions to similar fractions by getting the L.C.D or the least common denominator.

2. add the whole numbers and write down the given denominator.

3. reduce the answer to lowest term if possible.

Q: Adding dissimilar fractions and whole numbers?

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adding fractions is like adding a WHOLE lot of parts of numbers

Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]

a mixed number is a whole number with a fraction, ie. 2 3/4 Adding mixed numbers involves adding the whole numbers, then adding the fractions, then reducing the fraction and if it is improper, changing it to a whole number with a fraction and adding that whole number to the other whole number answer.

Fractions help with numbers that are not whole numbers.

Whole numbers are rational numbers with a denominator of 1. The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result. With whole numbers the denominators are already the same (as 1) and so the addition can be done straight away.

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adding fractions is like adding a WHOLE lot of parts of numbers

when you add mixed numbers you have a whole number but adding fraction does not.

46 3/4 - 27

Similarities: the sum does not depend on which number you start with (distributive)Differences: you must find a common denominator for the fractions (whole numbers have a common denominator [1]

a mixed number is a whole number with a fraction, ie. 2 3/4 Adding mixed numbers involves adding the whole numbers, then adding the fractions, then reducing the fraction and if it is improper, changing it to a whole number with a fraction and adding that whole number to the other whole number answer.

No. All fractions are not whole numbers, but all whole numbers are [improper] fractions (with a denominator of 1).

If you are adding, the result is a sum. This terminology applies whether the addends (the terms you are adding) are whole numbers or they are expressed as fractions or in decimal notation. The same is true of the sum.

Fractions help with numbers that are not whole numbers.

Whole numbers are rational numbers with a denominator of 1. The difference with general rational numbers is that the denominators are likely to be different and they must be made the same by converting the fractions into equivalent fractions with the same denominator before the addition can be done - by adding the numerators and keeping the denominator, and simplifying (if possible) the result. With whole numbers the denominators are already the same (as 1) and so the addition can be done straight away.

There are an infinite number of both fractions and whole numbers.

Mixed fractions can't become whole numbers.

True