Equivalent Fractions - Find & Circle - WordUnited - Free Printable

To find the equivalent fractions, we need to look at each row and simplify the fractions or find a common value that three of them share. Equivalent fractions represent the same amount, even if the numbers look different.

Here is the step-by-step breakdown for each row:

Row 1:
The fractions are: $\frac{1}{5}, \frac{3}{4}, \frac{2}{10}, \frac{2}{5}, \frac{2}{15}, \frac{3}{15}$

* Let's check $\frac{1}{5}$.
* Look at $\frac{2}{10}$: If you divide the top and bottom by 2, you get $\frac{1}{5}$. So, $\frac{1}{5}$ and $\frac{2}{10}$ are equivalent.
* Look at $\frac{3}{15}$: If you divide the top and bottom by 3, you get $\frac{1}{5}$. So, $\frac{3}{15}$ is also equivalent.
* The other fractions ($\frac{3}{4}, \frac{2}{5}, \frac{2}{15}$) do not equal $\frac{1}{5}$.

Equivalent set: $\frac{1}{5}, \frac{2}{10}, \frac{3}{15}$

Row 2:
The fractions are: $\frac{3}{5}, \frac{2}{8}, \frac{1}{4}, \frac{3}{7}, \frac{4}{16}, \frac{6}{8}$

* Let's check $\frac{1}{4}$.
* Look at $\frac{2}{8}$: If you divide the top and bottom by 2, you get $\frac{1}{4}$.
* Look at $\frac{4}{16}$: If you divide the top and bottom by 4, you get $\frac{1}{4}$.
* The other fractions ($\frac{3}{5}, \frac{3}{7}, \frac{6}{8}$) do not equal $\frac{1}{4}$. (Note: $\frac{6}{8}$ simplifies to $\frac{3}{4}$).

Equivalent set: $\frac{2}{8}, \frac{1}{4}, \frac{4}{16}$

Row 3:
The fractions are: $\frac{2}{3}, \frac{4}{6}, \frac{3}{7}, \frac{8}{12}, \frac{6}{8}, \frac{1}{5}$

* Let's check $\frac{2}{3}$.
* Look at $\frac{4}{6}$: If you divide the top and bottom by 2, you get $\frac{2}{3}$.
* Look at $\frac{8}{12}$: If you divide the top and bottom by 4, you get $\frac{2}{3}$.
* The other fractions ($\frac{3}{7}, \frac{6}{8}, \frac{1}{5}$) do not equal $\frac{2}{3}$.

Equivalent set: $\frac{2}{3}, \frac{4}{6}, \frac{8}{12}$

Row 4:
The fractions are: $\frac{3}{5}, \frac{3}{6}, \frac{1}{3}, \frac{2}{3}, \frac{4}{12}, \frac{2}{6}$

* Let's check $\frac{1}{3}$.
* Look at $\frac{4}{12}$: If you divide the top and bottom by 4, you get $\frac{1}{3}$.
* Look at $\frac{2}{6}$: If you divide the top and bottom by 2, you get $\frac{1}{3}$.
* The other fractions ($\frac{3}{5}, \frac{3}{6}, \frac{2}{3}$) do not equal $\frac{1}{3}$. (Note: $\frac{3}{6}$ simplifies to $\frac{1}{2}$).

Equivalent set: $\frac{1}{3}, \frac{4}{12}, \frac{2}{6}$

Final Answer:
Row 1: $\frac{1}{5}, \frac{2}{10}, \frac{3}{15}$
Row 2: $\frac{2}{8}, \frac{1}{4}, \frac{4}{16}$
Row 3: $\frac{2}{3}, \frac{4}{6}, \frac{8}{12}$
Row 4: $\frac{1}{3}, \frac{4}{12}, \frac{2}{6}$