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
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.
Recent Articles
-
3rd Grade Subtraction Worksheet | 3-Digit Subtraction Worksheets | Ans
Jan 14, 25 01:20 AM
In 3th Grade Addition Worksheet we will solve how to subtract 3-digit numbers by expansion, subtraction of 3-digit numbers without regrouping, subtraction of 3-digit numbers with regrouping, propertie… -
Facts about Subtraction | Subtraction of Small Numbers|Solved Examples
Jan 14, 25 12:29 AM
The operation to finding the difference between two numbers is called subtraction. Let us know some facts about subtraction which will help us to learn subtraction of large numbers. 1. Subtraction wit… -
Word Problems on Subtraction |Worksheet on Subtraction Word Problems |
Jan 14, 25 12:21 AM
In word problems on subtraction we need to read the question carefully and understand what we need to find out. We know, in subtraction the larger number from which we subtract the other number (the s… -
Worksheet on Estimating Sums and Differences | Find the Estimated Sum
Jan 13, 25 01:34 PM
In 4th grade worksheet on estimating sums and differences, all grade students can practice the questions on estimations.This exercise sheet on estimating sums and differences can be practiced -
Worksheet on Mixed Addition and Subtraction | Questions on Addition
Jan 12, 25 02:14 PM
In worksheet on mixed addition and subtraction the questions involve both addition and subtraction together; all grade students can practice the questions on addition and subtraction together.
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.