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.

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