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

Addition and Subtraction of Fractions

Multiplication of Fractions

Division of Fractions


 Fractions - Worksheets

Worksheet on Fractions

Worksheet on Multiplication of Fractions

Worksheet on Division of Fractions











7th Grade Math Problems

From Conversion of Fractions to HOME PAGE




Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.



New! Comments

Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.




Share this page: What’s this?

Recent Articles

  1. Worksheet on Area, Perimeter and Volume | Square, Rectangle, Cube,Cubo

    Jul 25, 25 12:21 PM

    In this worksheet on area perimeter and volume you will get different types of questions on find the perimeter of a rectangle, find the perimeter of a square, find the area of a rectangle, find the ar…

    Read More

  2. Worksheet on Volume of a Cube and Cuboid |The Volume of a RectangleBox

    Jul 25, 25 03:15 AM

    Volume of a Cube and Cuboid
    We will practice the questions given in the worksheet on volume of a cube and cuboid. We know the volume of an object is the amount of space occupied by the object.1. Fill in the blanks:

    Read More

  3. Volume of a Cuboid | Volume of Cuboid Formula | How to Find the Volume

    Jul 24, 25 03:46 PM

    Volume of Cuboid
    Cuboid is a solid box whose every surface is a rectangle of same area or different areas. A cuboid will have a length, breadth and height. Hence we can conclude that volume is 3 dimensional. To measur…

    Read More

  4. Volume of a Cube | How to Calculate the Volume of a Cube? | Examples

    Jul 23, 25 11:37 AM

    Volume of a Cube
    A cube is a solid box whose every surface is a square of same area. Take an empty box with open top in the shape of a cube whose each edge is 2 cm. Now fit cubes of edges 1 cm in it. From the figure i…

    Read More

  5. 5th Grade Volume | Units of Volume | Measurement of Volume|Cubic Units

    Jul 20, 25 10:22 AM

    Cubes in Cuboid
    Volume is the amount of space enclosed by an object or shape, how much 3-dimensional space (length, height, and width) it occupies. A flat shape like triangle, square and rectangle occupies surface on…

    Read More