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

Addition and Subtraction of Fractions

Multiplication of Fractions

Division of Fractions

● Fractions - Worksheets

Worksheet on Fractions