Convert the improper fraction into mixed fraction.
Options:-
a) 8 whole and 2/3
b) 7 whole and 5/3
c) 9 whole and 2/3
d) 8 whole and 1/3
The answer will be option a) 8 whole and 2/3. But how?
Answers
Step-by-step explanation:
There are three types of fractions:
Proper fraction - where the numerator is less than the denominator
Improper fraction - where the numerator is greater than the denominator
Mixed fraction - consists of a whole number and a proper fraction
Types of Fraction
PROPER FRACTION
Examples:
23 , 34 , 14 , 58
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IMPROPER FRACTION
Examples:
1285 , 2915 , 3512
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MIXED FRACTION
Examples:
413 , 582210 , 6920
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Steps to convert improper fraction into mixed number
Proper Fraction
A fraction in which numerator is less than denominator is called proper fraction, means a fraction that is less than 1.
Example 1:
Is 127 a proper fraction.
Example 2:
Is 38 a proper fraction.
Example 3:
Is 14 a proper fraction.
Example 4:
Is 1415 a proper fraction.
Example 5:
Is 45 a proper fraction.
Improper Fraction
A fraction in which numerator is greator than or equal to denominator is called proper fraction, means a fraction that is greator than or equal to 1.
Example 1:
Is 43 a improper fraction.
Example 2:
Is 114 a improper fraction.
Example 3:
Is 77 a improper fraction.
Mixed Fraction
A mixed number is a fraction that includes both whole number and a proper fraction.
Example 1:
Is 43 a mixed number.
Example 2
Is 94 a mixed number.
Example 3:
Is 825 a mixed number.
Steps for Converting
Improper Fraction into Mixed Number
Divide the numerator by the denominator.
For Example : Convert 54 to mixed Number
1
4 5
4
1
Use the quotient as the whole number.
in our example quotient is 1.
Use the remainder as the numerator of the proper fraction.
in our example remainder is 1.
The denominator will stay the same.
in our example denominator is 4.
Hence the required mixed number is 114
Mixed Number into Improper Fraction
Multiply the whole number by the denominator.
For Example : Convert 214 to improper fraction
In our example whole number is 2 and denominator is 4
hence 2 x 4 = 8
Add the product to the numerator of the proper fraction. The sum is the numerator of the improper fraction.
Here numerator is 1
adding numerator and product we get,
numerator= 8 + 1= 9
The denominator will stay the same.
denominator = 4
Hence the improper fraction is 94
Proper, Improper & Mixed Fraction Examples
Example 1:
Change 115 into a mixed fraction
Example 2:
Change 334 into improper fractio