Conversion of Fractions to Decimal Numbers

We will discuss here about the working rule for the conversion of fractions to decimal numbers.

The rules for converting fractions with denominators 10, 100, 1000, etc. into decimal fraction:

(i) Count the number of zeroes coming after 1 in the denominator.

(ii) Count an equal number of places in the numerator starting from the unit digit then place the decimal point to the left of the digit reached.


Let us consider some of the following examples;

1. Convert 819/100 to decimal.

Given, 819/100

We see in 819/100 there are two zeroes in the denominator. Therefore, to convert 819/100 into decimal fraction count two places from the right in the numerator and place the decimal point to the left of the digit.

= 8.19


2. Convert 6007/1000 to decimal.

Given, 6007/1000

We see in 6007/1000 there are three zeroes in the denominator. Therefore, to convert 6007/1000 into decimal fraction count three places from the right in the numerator and place the decimal point to the left of the digit.

= 6.007


3. Convert 798/10000 to decimal.

Given, 798/10000

We see in 798/10000 there are four zeroes in the denominator. Therefore, to convert 798/10000 into decimal fraction count four places from the right in the numerator and place the decimal point to the left of the digit.

= 0.0798


4. Convert 1794/10 to decimal.

Given, 1794/10

We see in 1794/10 there are one zero in the denominator. Therefore, to convert 1794/10 into decimal fraction count one place from the right in the numerator and place the decimal point to the left of the digit.

= 179.4


5. Convert 8/100 to decimal.

Given, 8/100

= 0.08


6. Convert 3/10 to decimal.

Given, 3/10

= 0.3


7. Convert 5/1000 to decimal.

Given, 5/1000

= 0.005


8. Convert 9/10000 to decimal.

Given, 9/10000

= 0.0009


9. Convert 192/10 to decimal.

Given, 192/10

=19.2


10. Convert 94/1000 to decimal.

Given, 94/1000

= 0.094

Decimal.

Decimal Place Value Chart.

Expanded form of Decimal Fractions.

Like Decimal Fractions.

Unlike Decimal Fraction.

Equivalent Decimal Fractions.

Changing Unlike to Like Decimal Fractions.

Ordering Decimals

Comparison of Decimal Fractions.

Conversion of a Decimal Fraction into a Fractional Number.

Conversion of Fractions to Decimals Numbers.

Addition of Decimal Fractions.

Problems on Addition of Decimal Fractions

Subtraction of Decimal Fractions.

Problems on Subtraction of Decimal Fractions

Multiplication of a Decimal Numbers.

Multiplication of a Decimal by a Decimal.

Properties of Multiplication of Decimal Numbers.

Problems on Multiplication of Decimal Fractions

Division of a Decimal by a Whole Number.

Division of Decimal Fractions

Division of Decimal Fractions by Multiples.

Division of a Decimal by a Decimal.

Division of a whole number by a Decimal.

Properties of Division of Decimal Numbers

Problems on Division of Decimal Fractions

Conversion of fraction to Decimal Fraction.

Simplification in Decimals.

Word Problems on Decimal.







5th Grade Numbers Page

5th Grade Math Problems

From Conversion of Fractions to Decimals Numbers 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. Divide by Repeated Subtraction | Division as Repeated Subtraction

    Jan 21, 25 09:09 AM

    Divide by Repeated Subtraction
    How to divide by repeated subtraction? We will learn how to find the quotient and remainder by the method of repeated subtraction a division problem may be solved.

    Read More

  2. Division Sharing and Grouping | Facts about Division | Basic Division

    Jan 21, 25 08:06 AM

    Sharing and Grouping
    We will learn division sharing and grouping. Share eight strawberries between four children. Let us distribute strawberries equally to all the four children one by one.

    Read More

  3. 3rd Grade Multiplication Worksheet | Grade 3 Multiplication Questions

    Jan 20, 25 02:31 PM

    3rd Grade Multiplication Riddle
    In 3rd Grade Multiplication Worksheet we will solve how to multiply 2-digit number by 1-digit number without regrouping, multiply 2-digit number by 1-digit number with regrouping, multiply 3-digit num…

    Read More

  4. 3rd Grade Math Worksheets |3rd Grade Math Sheets|3rd Grade Math Lesson

    Jan 20, 25 12:28 AM

    3rd Grade Math Worksheets
    3rd grade math worksheets is carefully planned and thoughtfully presented on mathematics for the students. Teachers and parents can also follow the worksheets to guide the students.

    Read More

  5. 3rd Grade Multiplication Word Problems Worksheet With Answers | Math

    Jan 19, 25 11:29 PM

    In 3rd Grade Multiplication Word Problems Worksheet we will solve different types of problems on multiplication, multiplication word problems on 3-digits number by 1-digit number and multiplication wo…

    Read More