DECIMAL FRACTION
Definition Of Decimal Fraction
A Decimal Fraction is a fraction in which the denominator is a power of ten.
More About Decimal Fraction
Decimal fraction can be easily converted into decimal by inserting a decimal separator in the value of the numerator at the position from the right in accordance with the power of ten of the denominator.
Example of Decimal Fraction
are the examples of decimal fractions. These decimal fractions can be expressed as 2.3, 0.47, and 0.089 without the denominators.
Video Examples: Decimal Fractions
Solved Example on Decimal Fraction
Ques: A teacher asks Patrick to convert the decimal number 153.31 to the equivalent (decimal) fraction. What should be Patrick's answer?
Choices:
A. 
B. 
C. 
D. 
Correct Answer: A
Solution:
Step 1: 153.31 = 153 + 0.31 [Divide the decimal into real part and decimal part.]
Step 2: 0.31 = 
[Convert the decimal to fraction.]
Step 3: 153 + 0.31 = 153 + = 153 = [Substitute and convert the mixed fraction to improper fraction.]
Step 4: Patrick's answer should be .
Quick Summary
- Decimal fractions have denominators that are powers of 10.
- They can be easily converted to decimals by placing the decimal point.
- Examples include 23/10, 47/100, and 89/1000 which are equivalent to 2.3, 0.47, and 0.089 respectively.
🍎 Teacher Insights
Use visual aids like base-ten blocks to demonstrate the concept of decimal fractions. Relate decimal fractions to real-world examples like money (cents as fractions of a dollar).🎓 Prerequisites
- Basic fraction concepts
- Understanding of place value
- Knowledge of powers of ten
Check Your Knowledge
Q1: Which of the following is a decimal fraction?
Q2: What is 53/100 as a decimal?
Frequently Asked Questions
Q: What is the difference between a decimal fraction and a common fraction?
A: A decimal fraction has a denominator that is a power of 10, while a common fraction can have any whole number as its denominator.
Q: How do I convert a decimal fraction to a decimal?
A: Count the number of zeros in the denominator. This is the number of places you move the decimal point to the left in the numerator.