Reviewed by Camille Ira B. Mendoza
What fractions are equivalent to 2/3?
Answer: Fractions equivalent to 2/3 include 4/6, 6/9, 8/12, 10/15, and so on
Equivalent fractions are different fractions that represent the same value or proportion of the whole. For example, 2/3 is a common fraction, and you can create other fractions that have the same value by multiplying or dividing both the numerator and denominator by the same number.
Methods
Math Tutor Explanation Using Multiplication Method
You can find equivalent fractions by multiplying the numerator and denominator of 2/3 by the same nonzero integer.
Step 1: Step 1: Choose a whole number (such as 2, 3, 4, 5, etc.)
Step 2: Step 2: Multiply both the numerator (2) and denominator (3) by that number
Math Tutor Explanation Using Division Method
You can also get equivalent fractions by dividing both the numerator and denominator by the same nonzero integer, if possible.
Step 1: Step 1: Check if both the numerator and denominator share a common factor above 1
Step 2: Step 2: Divide both by that number
Step 1:
Step 2:
Math Tutor suggests: Discover More About Equivalent Fractions
Want to strengthen your understanding of equivalent fractions and related concepts? Check out these exercises to practice finding and recognizing equivalent fractions.
FAQ on Equivalent Fractions
What does it mean for fractions to be equivalent?
Equivalent fractions are fractions that have different numbers but represent the same part of a whole.
Are 6/9 and 2/3 equivalent fractions?
Yes, both represent the same portion, because 6 divided by 9 simplifies to 2 divided by 3.
How do you check if two fractions are equivalent?
Cross-multiply the fractions; if the products are equal, the fractions are equivalent.
Can you make equivalent fractions by adding the same number to the numerator and denominator?
No, you must multiply or divide both the numerator and denominator by the same nonzero value to get equivalent fractions.