How can we use the concept:
To find an equivalent fraction, you can use multiplication or division.
Multiplication: multiply a fraction by a fraction equivalent to 1 whole (the numerator and denominator are the same. This is used when trying to find a fraction with a bigger numerator or denominator.
Example: 3/7 x 2/2=614
You simply multiply the numerators across then the denominators. 3 x 2 = 6. 7 x 2 = 14. This means that 3/7 is equivalent to 6/14
Division: divide a fraction by a fraction equivalent to 1 whole (the numerator and denominator are the same. This is used when trying to find a fraction with a smaller numerator or denominator.
Example:6/14 divided by 2/2=37
You simply multiply the numerators across then the denominators.
This means that 3/7 is equivalent to 6/14.
Sample Math Problems
Question 1: What fraction is equivalent to 3/6 with the numerator of 12?
Answer:
The numerator is the top number in the fraction.
We have to multiply something by 3 to get to 12. I know that 3 times 4 is 12, so I am going to multiply the numerator and denominator 4.
Question 2: What fraction is equivalent to 2/3 with the denominator of 15?
Answer:
The denominator is the bottom number in the fraction.
We have to multiply something by 3 to get to 15. I know that 3 times 5 is 15, so I am going to multiply the numerator and denominator 5.
Question 3: Simplify 27/36 to the lowest proper fraction form.
Answer:
To simplify means to get the fraction to the smallest form possible
I need to find the greatest common factor between 27 and 36. I know that both are divided by 9 evenly, so that is the GCF.
Question 4: Which fraction is NOT equivalent? 2/5, 4/10, 6/15, 9/20
Answer:
