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In many word
problems, it is necessary to add Mixed Numbers. In this
lesson, we will review the definition of Mixed Numbers and learn how
to add them. |
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A Mixed
Number is a quantity greater than one, that is made up of a proper
fraction and a whole number. |
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Examples
are: 2¼,
1⅞,
51½,
156¾ |
Which of the
following are Mixed Numbers?
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And how do
you add Mixed Numbers? |
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Step one: |
Add the whole numbers. |
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Step two: |
Combine the proper fractions; if they have different (unlike) denominators,
you must find the common (like) denominator first. |
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When you add
fractions you only add the numerators, NOT the denominators! |
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Example 1: Adding Mixed Numbers
with like denominators |
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Example 3: Adding Mixed Numbers
with unlike denominators and sum (answer) needs to be simplified |
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Must find a
common (like) denominator. (What is the least common multiple of 5
and 10? 10) |
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Because ......combine whole numbers and combine numerators.... |
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Because you
can't have an improper fraction in the answer, so change improper to
mixed. |
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is the answer in
lowest terms! |
Ready for some practice?
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and
so...
combine numerators and combine whole numbers...
