Convert Fractional Ratio into Whole Number Ratio

In order to convert fractional ratio into whole number ratio, we follow the following steps:

Step I: Find the least common multiple (L. C. M.) of the denominators.

Step II: Multiply each term of the ratio by this least common multiple (L. C. M.).

Step III: Then simplify it.


Solved examples on conversion of fractional ratio into whole number ratio:

1. Convert 1/3 : 1/4 into whole number ratio i.e., to ratio in simple form.

Solution:

1/3 : 1/4

First we need to find the least common multiple (L. C. M.) of the denominators 3 and 4 of the given ratio 1/3 : 1/4. The least common multiple (L. C. M.) of the denominators 3 and 4 = 12

Now we need to multiply each term of the ratio by this least common multiple 12.

= (1/3) × 12 : (1/4) × 12

= 12/3 : 12/4

= 4 : 3

Note: If each term of a ratio multiplied or divided by the same number or same quantity, the ratio remains the same.

In another alternative method we can convert 1/3 : 1/4 as,

= 1/3 ÷ 1/4, [Dividing first quantity by the second quantity]

= (1/3) × (4/1)

= 4/3

= 4 : 3



2. Convert 9/7 : 8/3 into whole number ratio i.e., to ratio in simple form.

Solution:

9/7 : 8/3

First we need to find the least common multiple (L. C. M.) of the denominators 7 and 3 of the given ratio 9/7 : 8/3. The least common multiple (L. C. M.) of the denominators 7 and 3 = 21

Now we need to multiply each term of the ratio by this least common multiple 21.

= (9/7) × 21 : (8/3) × 21

= 189/7 : 168/3

= 27 : 56

In another alternative method we can convert 9/7 : 8/3 as,

= 9/7 ÷ 8/3, [Dividing first quantity by the second quantity]

= (9/7) × (3/8)

= 27/56

= 27 : 56







6th Grade Page

From Convert Fractional Ratio into Whole Number Ratio 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. Basic Division Facts | Division is the Inverse of Multiplication |Math

    Nov 03, 24 12:50 PM

    Basic Division Facts
    Some basic division facts are needed to follow for dividing numbers. The repeated subtraction of the same number is expressed by division in short form and in long form.

    Read More

  2. Division of Two-Digit by a One-Digit Numbers | Dividing Larger Numbers

    Oct 29, 24 01:27 PM

    Divide 2-Digit Number by 1-Digit Number
    In division of two-digit by a one-digit numbers are discussed here step by step. How to divide 2-digit numbers by single-digit numbers?

    Read More

  3. 2nd Grade Multiplication Worksheet | 2-Digit by 1-Digit | 3-Digit by 1

    Oct 29, 24 12:21 AM

    Times Table Crossword
    In worksheet on 2nd grade multiplication worksheet we will solve the problems on fact about multiplication, multiplication on number line, terms used in multiplication, multiplication of 1-digit numbe…

    Read More

  4. Multiplication and Division are Related | Multiplication Fact|Division

    Oct 29, 24 12:06 AM

    Division and Multiplication are Related
    Does multiplication and division are related? Yes, multiplication and division both are related to each other. A few examples are given are given below to show how they are related to each other.

    Read More

  5. Divide on a Number Line | Various Division Problems | Solved Examples

    Oct 28, 24 12:53 AM

    How to divide on a number line? Learn to divide using number line to find the quotient. Solved examples to show divide on a number line: 1. Solve 14 ÷ 7 Solution: 7 is subtracted repeatedly

    Read More