Equivalent Fractions with Fraction Strips ... - Free Printable

Final Answer:
$\frac{1}{2} = \frac{2}{4}$
$\frac{1}{4} = \frac{2}{8}$
$\frac{2}{6} = \frac{1}{3}$
$\frac{1}{2} = \frac{3}{6}$
$\frac{4}{8} = \frac{1}{2}$
$\frac{1}{3} = \frac{2}{6}$
$\frac{4}{8} = \frac{1}{2}$
$\frac{1}{4} = \frac{1}{2}$ → Incorrect! Should be $\frac{1}{4} = \frac{1}{4}$ or $\frac{2}{8}$, but as written, the blank is for numerator: $\boxed{1}$ (since $\frac{1}{4} = \frac{1}{2}$ is false — wait, rechecking layout).

Actually, looking at the structure:

Each box has:
- Top: visual fraction bars
- Middle: blank = fraction
- Bottom: target fraction

Let’s solve each pair correctly:

1. Two halves → total 1; split into 4 quarters → 2 quarters = $\frac{2}{4}$ → so blank is $\frac{1}{2} = \frac{2}{4}$ ✔
2. Four quarters → 1 whole; split into 8 eighths → 2 eighths per quarter → 2/8 → $\frac{1}{4} = \frac{2}{8}$ ✔
3. Six fifths? Wait — no: top row: 6 equal parts labeled $ \frac{1}{6} $ each → 2 of them shaded → $\frac{2}{6}$; bottom shows 3 equal parts, one shaded → $\frac{1}{3}$. So $\frac{2}{6} = \frac{1}{3}$ → blank is $\frac{1}{3}$
4. Two halves shown as 6 sixths: each half = 3 sixths → $\frac{3}{6}$, so $\frac{1}{2} = \frac{3}{6}$ → blank is $\frac{1}{2}$
5. Eight eighths, 4 shaded → $\frac{4}{8}$; right side: two halves, one shaded → $\frac{1}{2}$ → $\frac{4}{8} = \frac{1}{2}$ → blank is $\frac{1}{2}$
6. Three thirds → each third = 2 sixths → $\frac{2}{6}$, so $\frac{1}{3} = \frac{2}{6}$ → blank is $\frac{1}{3}$
7. One eighth shaded (left), then $\frac{1}{2}$ shown below — but that’s inconsistent unless it's $\frac{4}{8} = \frac{1}{2}$. Looking: top left is $\frac{1}{8}$ alone, then below is $\frac{1}{2}$ and blank = $\frac{1}{2}$. Actually, the row says:
- Left: $\frac{1}{8}$ (one part)
- Below: $\frac{1}{2}$ and blank = $\frac{1}{2}$ → likely a typo, but pattern suggests $\frac{4}{8} = \frac{1}{2}$, so blank is $\frac{4}{8}$? No — the equation is “___ = 1/2”, and visual shows 4 out of 8 → so blank is $\frac{4}{8}$
But in the printed line it says: “$\frac{4}{8} = \frac{1}{2}$” — so blank is $\frac{4}{8}$? Wait, the blank is before the “=”, so for that row:
“___ = 1/2” and visual is 4 shaded out of 8 → answer: $\frac{4}{8}$

8. Last: “___ = 1/2”, visual: 1 out of 4 shaded? No — top: 1/4 shown twice? Actually, it's:
- Top: $\frac{1}{4}$
- Below: $\frac{1}{2}$ and blank = $\frac{1}{2}$
But $\frac{1}{4} \ne \frac{1}{2}$. The correct equivalent is $\frac{2}{8}$ or $\frac{1}{4} = \frac{1}{4}$. However, the pattern in all others is simplifying or expanding.

Let me list each equation as intended by visuals:

Row 1: $\boxed{\frac{1}{2}} = \frac{2}{4}$
Row 2: $\boxed{\frac{1}{4}} = \frac{2}{8}$
Row 3: $\frac{2}{6} = \boxed{\frac{1}{3}}$
Row 4: $\boxed{\frac{1}{2}} = \frac{3}{6}$
Row 5: $\frac{4}{8} = \boxed{\frac{1}{2}}$
Row 6: $\boxed{\frac{1}{3}} = \frac{2}{6}$
Row 7: $\boxed{\frac{4}{8}} = \frac{1}{2}$
Row 8: $\boxed{\frac{2}{4}} = \frac{1}{2}$ ← because 2 out of 4 equals 1/2; visual likely shows 2 quarters shaded.

Given standard curriculum, last one should be $\frac{2}{4} = \frac{1}{2}$.

So final answers for blanks (in order left to right, top to bottom):

1. $\frac{1}{2}$
2. $\frac{1}{4}$
3. $\frac{1}{3}$
4. $\frac{1}{2}$
5. $\frac{1}{2}$
6. $\frac{1}{3}$
7. $\frac{4}{8}$
8. $\frac{2}{4}$

But the problem asks to fill the blanks (the squares with “___”). Each “___” is the left side of “=”.

So:

1. ___ = 2/4 → answer: 1/2
2. ___ = 2/8 → answer: 1/4
3. 2/6 = ___ → answer: 1/3
4. ___ = 3/6 → answer: 1/2
5. 4/8 = ___ → answer: 1/2
6. ___ = 2/6 → answer: 1/3
7. 4/8 = ___ → answer: 1/2
8. ___ = 1/2 → based on visual of 2 out of 4 → 2/4

Thus, the filled blanks are:

$\frac{1}{2},\ \frac{1}{4},\ \frac{1}{3},\ \frac{1}{2},\ \frac{1}{2},\ \frac{1}{3},\ \frac{1}{2},\ \frac{2}{4}$

But the last one could also be $\frac{4}{8}$ if visual shows 4/8, but the equation is “___ = 1/2”, and previous similar case used simplified form.

However, looking at consistency: in row 5, they wrote “4/8 = ___”, and blank is 1/2 (simplified). In row 8, it's “___ = 1/2”, and visual is likely 2/4 (two quarters), so blank is 2/4.

Final Answer:
$\frac{1}{2}$, $\frac{1}{4}$, $\frac{1}{3}$, $\frac{1}{2}$, $\frac{1}{2}$, $\frac{1}{3}$, $\frac{1}{2}$, $\frac{2}{4}$