**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.

**Example of Equivalent Fractions**

- In the given figure, shaded parts of the figures represent the equivalent fractions as .

**Solved Example on Equivalent Fractions**

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. and

B. and

C. and

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:= [Substitute.]

Step 4:= [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 .

**Related Terms for Equivalent Fractions**

- Denominator
- Fraction
- Numerator
- Ratio