Conversion of Fractions
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;
(i) 31/5 = (3 × 5 + 1)/5 = (15 + 1)/5 = 16/5
(ii) 93/4 = (9 × 4 + 3)/4 = (36 + 3)/4 = 39/4
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.
= (4 × 6)/(5 × 6) etc.
If the numerator and denominator of a fraction are both divided by their common factor, then its value does not change.
i.e., 6/10 = (6 ÷ 2)/(10 ÷ 2) = 3/5;
9/24 = (9 ÷ 3)/(24 ÷ 3) = 3/8 etc.
These are the basic examples on conversion of fractions explained here step by step.
● 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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