What are fractions?
The word fraction means a part of something that is whole i.e. its value should be less than 1.Fractions are a type of rational numbers (which are of the form p/q, where p and q are integers and q≠0), and have numerator less than the denominator (p < q) and both p and q are in the lowest terms.
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| Some common fractions |
Eg. 5/10 is not in the lowest terms since the common factors are 1 and 5; whereas 3/7 is in its lowest form.
A fraction can be treated as a division problem.
Equivalent fractions:
Two fractions are said to be equivalent if the cross products are equal. Cross product is the product of the numerator of one fraction with the denominator of another.
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| What are equivalent fractions? |
Unit fractions:
Those fractions in which the numerator is one.
Eg. 1/2, 1/3, 1/4 etc.
Like and unlike fractions:
• Like fractions are those which have the same denominators.
Eg. 1/9, 2/9, 4/9.
• Unlike fractions are those which have different denominators.
Eg. 2/5, 2/3, 2/9.
Proper, improper and mixed fractions:
• Fractions in which the numerator is less than the denominator are known as proper fractions.
Eg. 3/4, 5/10, 3/9 etc.
• Fractions in which the denominator is less than the numerator are known as improper fractions.
Eg. 5/4, 9/8, 11/2 etc.
• Fractions which are a combination of a whole number and a fraction are called mixed fractions or mixed numbers.
Eg. 11/4, 31/9 etc.
Mixed fractions are an example of improper fractions.
Improper fractions can be converted into mixed fractions and vice versa.
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Read More :-
Even and Odd Numbers
Co-prime or Relatively Prime Numbers
What are Perfect Numbers?
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