EQUIVALENT FRACTIONS
Definition Of Equivalent Fractions
Equivalent Fractions of a fraction are those fractions whose numerator and denominator are in the same ratio as that of the original fraction.
More About Equivalent Fractions
Equivalent fraction can be generated by multiplying or dividing the numerator and denominator by the same number.
Video Examples: Equivalent fractions
Example of Equivalent Fractions
In the given figure, shaded parts of the figures represent the equivalent fractions as 1/2 = 2/4 = 4/8.
Solved Example on Equivalent Fractions
Ques: Victor had 5 chocolates. He gave 2 chocolates to his friends. Which of the following are the two equivalent fractions for the fraction of the chocolates left with Victor?
Choices:
A. 6/10and 9/15
B. 3/15 and 4/20
C. 2/10 and 3/15
D. none of the above
Correct Answer: A
Solution:
Step 1: Number of chocolates left with Victor = 5 - 2 = 3
Step 2: The fraction of the chocolates left with Victor = 
Step 3: = 3/5 [Substitute.]
Step 4: 
= 6/10 [Multiply both numerator and denominator by the same non-zero number, 2.]
Step 5: 
[Multiply both numerator and denominator by the same non-zero number, 3.]
Step 6: So, the two equivalent fractions are and .
Quick Summary
- Equivalent fractions have the same value.
- You can find equivalent fractions by multiplying or dividing the numerator and denominator by the same number.
- Equivalent fractions maintain the same ratio between numerator and denominator.
🍎 Teacher Insights
Use visual aids like fraction bars or circles to demonstrate the concept of equivalent fractions. Emphasize that multiplying or dividing by '1' (in the form of k/k) doesn't change the value.🎓 Prerequisites
- Basic understanding of fractions
- Concept of numerator and denominator
Check Your Knowledge
Q1: Which fraction is equivalent to 1/2?
Q2: Which of the following is NOT an equivalent fraction of 3/5?
Frequently Asked Questions
Q: How do I know if two fractions are equivalent?
A: You can simplify both fractions to their simplest form. If the simplified forms are the same, then the fractions are equivalent.
Q: Can I find an infinite number of equivalent fractions for a given fraction?
A: Yes, you can keep multiplying the numerator and denominator by different numbers to find an infinite number of equivalent fractions.