CONTENTS OF THIS PAGE:
How to write proper fraction / what is a proper fraction?
How to write improper fraction / what is an improper fraction?
What are like fractions
What are unlike fractions
Mixed fractions
How to convert a mixed fraction into an improper fraction?
How to convert an improper fraction into a mixed fraction?
How to add fractions / addition of fractions / addition of like fractions / addition of unlike fractions
How to subtract fractions/ subtraction of fractions / subtraction of like fractions / subtraction of unlike fractions
How to multiply fractions / multiplication of fractions
How to divide / division
How to divide fractions / division of fractions
How to convert fraction into decimal / how to convert fraction into a decimal number using multiplication /
conversion of a fraction into a decimal number without actual division
What is a fraction?
Part of a whole is called a fraction. It has two parts - numerator and denominator. Examples are 1/4, 11/6, 2/9, 4/7 etc...
Proper fractions are fractions in which the numerator is less than the denominator. Examples are 2/3, 3/4, 5/9 etc...
Improper fractions are fractions in which the numerator is greater than the denominator. Examples are 6/5, 8/3, 12/5 etc...
MIXED FRACTIONS
Addition of fractions
Like fractions are fractions with same denominators. While adding like fractions, we add the numerator directly and write the denominator only once as shown below.
1/7+ 5/7= (1+5)/7 = 6/7
Unlike fractions are fractions with different denominators.
In the case of unlike fractions, we take least common multiple for the denominators. The next step is to multiply the numerator as well as the denominator of the respective fractions with suitable numbers so as to make the denominators common. One such sum is done below for reference.
2/5 + 1/4 = (2x4)/(5x4) + (1x5)/(4x5) = (8+5)/20 = 13/20
SUBTRACTION OF FRACTIONS
While multiplying, if simplification is not possible as shown in the above two sums, then the numerators are multiplied together and the denominators are multiplied together to get the resultant fraction.
Let us take some examples where simplification is possible. In such sums, we reduce the fraction to the lowest form.
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