fractions © math learning e-resource center. a fraction is part of an entire object
TRANSCRIPT
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Fractions
© Math Learning e-Resource Center
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A fraction is part of an entire object.
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Fourths, Eighths, and Tenths….
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Converting Improper Fractions to Mixed Numbers.
There are times when we have to change improper fractions to mixed numbers. What is an improper fraction? What is a mixed number?
Recall that a fraction is made up of a numerator and a denominator, separated by a dividing line as shown in Fig.1 below.
Both a and b are integers, and b cannot be a 0.
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A proper fraction will have a numerator that is smaller than the denominator.
Examples of proper fractions:
Proper Fraction
NUMERATOR
DENOMINATOR
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An improper fraction on the other hand, is a fraction that has a numerator that is larger than the denominator.
In all the examples below you can see that the value of the numerator a is greater than the value of the denominator b.
Examples of improper fractions include:
Improper Fraction
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A mixed number has two parts – a whole number part and a fractional part.
Examples of mixed numbers include:
Mixed Number
In other words, a mix number is the sum of its whole number and its fraction.
comes from adding
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How do we change improper fractions to mixed numbers ?
To change an improper fraction to a mixed number,
we divide the numerator by the denominator. We can then use the result to write the mixed number.
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Example 1: Change to a mixed number.
Solution: First we divide 7 by 4.
As you can see, 4 goes into 7 only once. We have a remainder of 3. So we have the following:
Our fraction is therefore equivalent to the mixed number
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Example 2: Change to a mixed number.
In this example, 7 goes into 29 four times, and we have a remainder of 1.
We have:
Therefore the improper fraction is equivalent to the mixed number
Solution: First we divide 29 by 7.
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Try It:
Change the following improper fractions to mixed numbers:
Answer :
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Basic Math: Fractions by Open University Malaysia is licensed under a Creative Commons Attribution-Noncommercial 3.0 Unported License. Based on a work at http://oer.oum.edu.my. Permissions beyond the scope of this license may be available at http://www.oum.edu.my.