Conversion of fractions is discussed here in order to convert a mixed fraction into an improper fraction and also to convert an improper fraction as a mixed fraction.
Method of reduction of different fractions into like fractions:
Step I: Find the L.C.M of all the denominators.
Step II: Divide the L.C.M by the denominator of the first fraction and get the quotient.
Step III: Multiply both numerator and denominator of the first fraction by the quotient.
Step IV: Repeat step 2 and 3 for all the given fractions.
In order to convert a mixed fraction into an improper fraction, we may use the following formula;
Improper fraction = {(Whole number x Denominator) + Numerator} Denominator
For example;
In order to convert an improper fraction as a mixed fraction, we first divide the numerator by denominator and obtain the quotient and remainder and then we write the mixed fraction as
Quotient = Remainder
Denominator
For example;
(i) ¹⁷/₄ = 4¹/₄ [Since, Quotient = 4, Remainder = 1]
(ii) ⁴⁷/₁₅ = 3²/₁₅ [Since, Quotient = 3, Remainder = 2]
Note:
If the numerator and denominator of a fraction are both multiplied by the same non-zero number, then its value does not change.
● Fractions
Addition and Subtraction of Fractions
● Fractions - Worksheets
Worksheet on Multiplication of Fractions
Worksheet on Division of Fractions
7th Grade Math Problems
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