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# Equivalent fractions review

Review equivalent fractions with multiplication, and try some practice problems.

## Equivalent fractions

Fractions are equivalent if they are equal or represent the same amount.

## Finding equivalent fractions using multiplication

Let's look at an example.
What number could replace a below?
start fraction, 2, divided by, 3, end fraction, equals, start fraction, a, divided by, 12, end fraction
First, we need to figure out what to multiply 3 by to get 12:
start fraction, 2, divided by, 3, end fraction, times, start fraction, divided by, 4, end fraction, equals, start fraction, divided by, 12, end fraction
Next, we multiply the numerator by the same number as the denominator:
start fraction, 2, divided by, 3, end fraction, times, start fraction, 4, divided by, 4, end fraction, equals, start fraction, 8, divided by, 12, end fraction
start fraction, 2, divided by, 3, end fraction, equals, start fraction, 8, divided by, 12, end fraction, so we can replace the a with an 8.

## Practice

Problem 1
• Current
What number could replace r below?
start fraction, 2, divided by, 4, end fraction, equals, start fraction, r, divided by, 8, end fraction

Want to try more problems like this? Check out this exercise.

## Want to join the conversation?

• 3/6 is the same as 9/18.
• I was just wondering how you guys find so many ways to help explain the problem. I have been struggling in math for years!! this really helped!
• this is possible beacause 3+3+3=9
and 1x3=3
• 3/10 is equivalent to 30/100
• Yes it is :)
(1 vote)
• is 3/6 the same as 9/18?
• yes, they are both equivalent to one half
• what is 11 wholes times 50/99
• can Equivalent fractions also be Equivalent if they are added or subtracted?
like 4/6 = 7/9
• No, a fraction is only an equivalent fraction when it can be obtained by multiplying or dividing both the numerator and denominator by the same number. This results in a set of fractions which are exactly equal.
In the case of 4/6, the equivalent fractions include 2/3 , 8/12, 12/18 etc.
(All these equivalent fractions of 4/6 equal approximately 0.67 like 4/6 itself)
Similarly 7/9 will have a set of equivalent fractions that equal approximately 0.78 like it.