# 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.

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