Converting Improper Fractions to Mixed Fractions and Vice Versa
In a previous lesson, we saw that there are three types of fractures:
Proper Fractions: The numerator is less than the denominator. ()
Exemples: ; ;
Improper Fractions: The numerator is greater than, or equal to, the denominator. ()
Exemples: ; ;
Mixed numbers: There is a whole number and a fraction.
Exemples: ; ;
In this lesson, we will focus on the last two types, Improper Fractions and Mixed Fractions, so that we will see how to convert a mixed fraction to an improper fraction, and how to convert an improper fraction to a mixed fraction using a very simple rule. All you have to do, dear student, is to continue reading the lesson to the end, and re-perform the examples that we will see in this lesson.
Converting Improper Fractions to Mixed Fractions
There are three very easy steps to convert an improper fraction to a mixed fraction, which are as follows:
Divide the denominator by the numerator;
Keep the obtained quotient as the whole part;
Write the fraction part which the numerator is the remainder and the denominator is the original denominator;
Write down the final result by combining the parts [Whole Part][Fraction Part];
Info!
The fraction part is always a proper fraction.
Examples of how to convert an improper fraction to a mixed fraction
Example1:
Convert to a mixed fraction.
Solution:
The denominator (28) is greater than the numerator (5), so is an improper fraction.
Divide 28 by 5
Quotient = 5 (then 5 is the whole part)
Remainder = 3 (then is the fraction part)
Thus, the final answer is:
Example2:
Convert to a mixed fraction.
Solution:
The denominator (39) is greater than the numerator (4), so is an improper fraction.
Divide 39 by 4
Quotient = 9 (then 9 is the whole part)
Remainder = 3 (then is the fraction part)
Thus, the final answer is:
Example3:
Convert to a mixed fraction.
Solution:
The denominator (85) is greater than the numerator (19), so is an improper fraction.
Divide 85 by 19
Quotient = 4 (then 4 is the whole part)
Remainder = 9 (then is the fraction part)
Thus, the final answer is:
Converting Mixed Fractions to Improper Fractions
For the reverse process, Converting a mixed fraction to an improper fraction is also easy, you just follow this three steps below.
Lets take some examples of converting the mixed fractions to improper fractions.
Examples of how to convert an mixed fraction to a improper fraction
Example4:
Convert to an improper fraction.
Solution:
We can do the process in one go:
Example5:
Convert to an improper fraction.
Solution:
We can do the process in one go:
Example6:
Convert to an improper fraction.
Solution:
We can do the process in one go: