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.

i.e., 4/5 = (4 × 2)/(5 × 2) = (4 × 3)/(5 × 3) = (4 × 4)/(5 × 4) = (4 × 5)/(5 × 5)

= (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.

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Fractions

Fractions

Types of Fractions

Equivalent Fractions

Like and Unlike Fractions

Conversion of Fractions

Fraction in Lowest Terms

Multiplication of Fractions

Division of Fractions

Fractions - Worksheets

Worksheet on Fractions

Worksheet on Multiplication of Fractions