Mixed and Decimal Numbers

Method

Converting a Mixed Number Into an Improper Fraction

Improper fractions and mixed numbers are two different ways of writing numbers that can have the same value. Sometimes, it is useful to convert between them. Consider the following mixed number. 5 29 This mixed number can be rewritten as an improper fraction in three steps.

1
Multiply the Integer Part by the Denominator
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First, identify the integer part of the mixed number. This is the integer number written before the fraction.

Next, multiply the integer part by the denominator of the fraction. In this case, the denominator of the fraction is 9. 5* 9=45

2
Add the Numerator
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Add the numerator of the fraction to the number from the previous step. In the given mixed number, the numerator of the fraction is 2. 45+ 2=47 This is the numerator of the improper fraction. 5 29=47/?
3
Write the Denominator
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Write the numerator of the fraction part as the denominator of the improper fraction. The denominator in the fraction of the given mixed number is 9. Therefore, this is also the denominator of the improper fraction. 5 2 9=47/9

Extra

Interact With an Applet that Converts Different Mixed Numbers Into Improper Fractions
Submit the values of the integer part, numerator and denominator between 1 and 15, inclusively. Then, the process of converting the mixed number into an improper fraction will be illustrated.

Mixed number is rewritten as a fraction

Exercises
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