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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?
$\frac{2}{3}=\frac{a}{12}$
First, we need to figure out what to multiply $3$ by to get $12$:
$\frac{2}{3}×\frac{}{4}=\frac{}{12}$
Next, we multiply the numerator by the same number as the denominator:
$\frac{2}{3}×\frac{4}{4}=\frac{8}{12}$
$\frac{2}{3}=\frac{8}{12}$, so we can replace the $a$ with an $8$.

Practice

Problem 1
What number could replace $r$ below?
$\frac{2}{4}=\frac{r}{8}$

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!
• 3/10 is equivalent to 30/100
• Yes it is :)
• is 3/6 the same as 9/18?
• yes, they are both equivalent to one half
• this is possible beacause 3+3+3=9
and 1x3=3
• what is 11 wholes times 50/99
• can Equivalent fractions also be Equivalent if they are added or subtracted?
like 4/6 = 7/9