Equivalent fractions practice worksheet for Grade 3 students.

Let’s solve each row step by step. We’re finding equivalent fractions — that means fractions that look different but have the same value.

We do this by multiplying or dividing both the top (numerator) and bottom (denominator) by the same number.

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Row 1:
Given:
1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
✔ Already complete — all are equivalent to 1/2.

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Row 2:
Start with 1/3.

→ To get denominator 6: multiply numerator and denominator by 2 → 1×2 / 3×2 = 2/6

→ Next is 3/? — since we started with 1/3, to get numerator 3, multiply by 3 → 1×3 / 3×3 = 3/9

Wait — but next given is ?/12. Let’s check pattern:

Actually, looking at the sequence:
1/3 = ?/6 = 3/? = ?/12 = 5/? = ?/18

Let’s find multipliers:

- From 1/3 to ?/6 → ×2 → so 1×2=2 → 2/6
- Then 3/? → from 1/3, to get numerator 3, multiply by 3 → 3/9 → 3/9
- Then ?/12 → from 1/3, to get denominator 12, multiply by 4 → 1×4=4 → 4/12
- Then 5/? → from 1/3, to get numerator 5, multiply by 5 → 5/15 → 5/15
- Then ?/18 → from 1/3, to get denominator 18, multiply by 6 → 1×6=6 → 6/18

So Row 2:
1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18

But wait — in the worksheet, it shows:

1/3 = _/6 = 3/_ = _/12 = 5/_ = _/18

So fill blanks:

First blank (after 1/3): numerator for denominator 6 → 2 → 2/6

Second blank: denominator when numerator is 3 → 9 → 3/9

Third blank: numerator for denominator 12 → 4 → 4/12

Fourth blank: denominator when numerator is 5 → 15 → 5/15

Fifth blank: numerator for denominator 18 → 6 → 6/18

✔ So Row 2: 2, 9, 4, 15, 6

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Row 3:
Start with 1/7.

We need to write 5 more equivalent fractions.

Multiply numerator and denominator by 2, 3, 4, 5, 6:

→ 1×2 / 7×2 = 2/14

→ 1×3 / 7×3 = 3/21

→ 1×4 / 7×4 = 4/28

→ 1×5 / 7×5 = 5/35

→ 1×6 / 7×6 = 6/42

So Row 3:
1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42

Blanks: 2,14 ; 3,21 ; 4,28 ; 5,35 ; 6,42

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Row 4:
Start with 2/3.

Given: 2/3 = _/_ = 6/_ = _/12 = _/15 = 12/_

Let’s go step by step.

First blank pair: after 2/3 — probably 4/6? But let’s follow the pattern using the known values.

We see 6/_ — so if numerator is 6, what was multiplier? Original numerator is 2 → 2×3=6 → so denominator 3×3=9 → 6/9

Then _/12 — original denominator 3 → 3×4=12 → numerator 2×4=8 → 8/12

Then _/15 — denominator 3×5=15 → numerator 2×5=10 → 10/15

Then 12/_ — numerator 2×6=12 → denominator 3×6=18 → 12/18

Now first blank: between 2/3 and 6/9 — should be 4/6? Because 2×2=4, 3×2=6 → 4/6

Check: 2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18 ✔

So Row 4 blanks:

First fraction: 4/6

Then 6/9

Then 8/12

Then 10/15

Then 12/18

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Row 5:
Start with 1/4.

Given: 1/4 = 3/_ = _/20 = _/_ = _/_ = _/_

First: 3/_ → numerator 3, so multiplier is 3 → denominator 4×3=12 → 3/12

Next: _/20 → denominator 20 = 4×5 → numerator 1×5=5 → 5/20

Then next two: multiply by 6 → 6/24

Multiply by 7 → 7/28

Multiply by 8 → 8/32

Or maybe they want consecutive multiples? Let’s assume we continue multiplying by 2,3,4,5,6...

After 1/4:

×2 → 2/8

×3 → 3/12 (already used)

×4 → 4/16

×5 → 5/20 (already used)

×6 → 6/24

×7 → 7/28

×8 → 8/32

But in the worksheet, it's:

1/4 = 3/_ = _/20 = _/_ = _/_ = _/_

So positions:

Blank 1: denominator for numerator 3 → 12 → 3/12

Blank 2: numerator for denominator 20 → 5 → 5/20

Then three more fractions: let’s use ×6, ×7, ×8 → 6/24, 7/28, 8/32

Alternatively, maybe ×4, ×6, ×8? But 4/16 wasn’t used yet.

Looking at structure, perhaps they expect:

After 5/20, next could be 6/24, then 7/28, then 8/32.

But let’s check if there’s a better fit.

Since 1/4 = 2/8 = 3/12 = 4/16 = 5/20 = 6/24 etc.

In the worksheet, 3/_ and _/20 are given, so likely:

1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32

But why skip 2/8 and 4/16? Maybe because 3 and 5 are specified.

Perhaps the blanks are meant to be filled as:

First blank after 1/4: 3/12

Then 5/20

Then next: let’s say 6/24

Then 7/28

Then 8/32

Yes.

So Row 5:
1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32

Blanks: 12, 5, 6/24, 7/28, 8/32

Wait — the format is:

1/4 = [3] / [_] = [_] / 20 = [_]/[_] = [_]/[_] = [_]/[_]

So:

First blank: denominator for 3 → 12

Second blank: numerator for 20 → 5

Then three full fractions: let’s put 6/24, 7/28, 8/32

So: 6,24 ; 7,28 ; 8,32

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Row 6:
Start with 3/8.

Given: 3/8 = _/_ = _/24 = _/32 = 15/_ = _/48

Find equivalents.

First, _/24 → denominator 24 = 8×3 → numerator 3×3=9 → 9/24

Then _/32 → denominator 32 = 8×4 → numerator 3×4=12 → 12/32

Then 15/_ → numerator 15 = 3×5 → denominator 8×5=40 → 15/40

Then _/48 → denominator 48 = 8×6 → numerator 3×6=18 → 18/48

Now first blank: between 3/8 and 9/24 — should be 6/16? Because 3×2=6, 8×2=16 → 6/16

Check: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/48 ✔

So Row 6 blanks:

First fraction: 6/16

Then 9/24

Then 12/32

Then 15/40

Then 18/48

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Row 7:
Start with 1/5.

Given: 1/5 = _/10 = _/15 = _/_ = _/_ = _/30

First: _/10 → denominator 10 = 5×2 → numerator 1×2=2 → 2/10

Then _/15 → denominator 15 = 5×3 → numerator 1×3=3 → 3/15

Then _/30 → denominator 30 = 5×6 → numerator 1×6=6 → 6/30

Now middle two: let’s do ×4 and ×5 → 4/20 and 5/25

So: 1/5 = 2/10 = 3/15 = 4/20 = 5/25 = 6/30

Blanks:

First: numerator for 10 → 2

Second: numerator for 15 → 3

Then two fractions: 4/20 and 5/25

Last: numerator for 30 → 6

So: 2, 3, 4/20, 5/25, 6

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Row 8:
Start with 5/10.

Note: 5/10 simplifies to 1/2, but we’ll keep as is and find equivalents by multiplying.

5/10 = _/_ = _/_ = _/_ = _/_ = _/_

We can multiply numerator and denominator by 2,3,4,5,6:

×2 → 10/20

×3 → 15/30

×4 → 20/40

×5 → 25/50

×6 → 30/60

So Row 8:
5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60

All blanks filled accordingly.

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Now let’s compile all answers row by row as per the worksheet blanks.

Remember, for each row, we fill the empty boxes in order.

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Final Answers per Row:

Row 1: already complete — no blanks.

Row 2: blanks are:
After 1/3: numerator for denom 6 → 2
Then denom for num 3 → 9
Then num for denom 12 → 4
Then denom for num 5 → 15
Then num for denom 18 → 6
So: 2, 9, 4, 15, 6

Row 3: all blanks — five fractions:
2/14, 3/21, 4/28, 5/35, 6/42
So numerators: 2,3,4,5,6 and denominators:14,21,28,35,42

But since each box is separate, list them in order:

First fraction: num=2, den=14
Second: num=3, den=21
Third: num=4, den=28
Fourth: num=5, den=35
Fifth: num=6, den=42

Row 4:
First fraction: num=4, den=6
Then den for num=6 → 9
Then num for den=12 → 8
Then num for den=15 → 10
Then den for num=12 → 18
So: 4,6, 9, 8, 10, 18

Wait — let’s map to positions:

The row is:
2/3 = [A]/[B] = 6/[C] = [D]/12 = [E]/15 = 12/[F]

So:

A=4, B=6
C=9
D=8
E=10
F=18

Row 5:
1/4 = 3/[G] = [H]/20 = [I]/[J] = [K]/[L] = [M]/[N]

G=12
H=5
Then I/J = 6/24 → I=6, J=24
K/L = 7/28 → K=7, L=28
M/N = 8/32 → M=8, N=32

Row 6:
3/8 = [O]/[P] = [Q]/24 = [R]/32 = 15/[S] = [T]/48

O=6, P=16
Q=9
R=12
S=40
T=18

Row 7:
1/5 = [U]/10 = [V]/15 = [W]/[X] = [Y]/[Z] = [AA]/30

U=2
V=3
W/X = 4/20 → W=4, X=20
Y/Z = 5/25 → Y=5, Z=25
AA=6

Row 8:
5/10 = [AB]/[AC] = [AD]/[AE] = [AF]/[AG] = [AH]/[AI] = [AJ]/[AK]

AB=10, AC=20
AD=15, AE=30
AF=20, AG=40
AH=25, AI=50
AJ=30, AK=60

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Now, to present final answer clearly, listing each row’s missing numbers in order as they appear left to right.

But since the user just wants the solved problem, and the worksheet has specific blanks, I’ll write the completed rows.

However, the instruction says: “Provide only the final correct answer” after reasoning.

But for clarity, since it’s multiple rows, I’ll summarize the filled values per row.

Alternatively, since it’s a worksheet, perhaps list each row’s sequence.

But to match the format, I think the best is to write the completed equations for each row.

But the Final Answer section should be concise.

Given that, I’ll provide the missing numbers for each row in order.

Let me define for each row, the sequence of numbers to fill in the blanks, reading left to right, top to bottom.

Row 1: no blanks → skip

Row 2: blanks at positions: after 1/3: one num, then one den, then one num, then one den, then one num → so 5 numbers: 2, 9, 4, 15, 6

Row 3: 5 fractions, each has num and den → 10 numbers: 2,14,3,21,4,28,5,35,6,42

Row 4: as above: A,B,C,D,E,F → 4,6,9,8,10,18

Row 5: G,H,I,J,K,L,M,N → 12,5,6,24,7,28,8,32

Row 6: O,P,Q,R,S,T → 6,16,9,12,40,18

Row 7: U,V,W,X,Y,Z,AA → 2,3,4,20,5,25,6

Row 8: AB to AK → 10,20,15,30,20,40,25,50,30,60

But this might be messy.

Perhaps better to write the completed rows.

Since the user is a student, I'll write the full completed worksheet answers row by row.

Final Answer:

Row 1: 1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12

Row 2: 1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18

Row 3: 1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42

Row 4: 2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18

Row 5: 1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32

Row 6: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/48

Row 7: 1/5 = 2/10 = 3/15 = 4/20 = 5/25 = 6/30

Row 8: 5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60

This is clear and matches the worksheet format.

I verified each calculation.

For example, in Row 4: 2/3 = 4/6 (yes, both reduce to 2/3), 6/9=2/3, 8/12=2/3, etc.

Similarly, Row 8: 5/10=1/2, 10/20=1/2, etc.

All correct.

Final Answer:

Row 1: 1/2 = 2/4 = 3/6 = 4/8 = 5/10 = 6/12
Row 2: 1/3 = 2/6 = 3/9 = 4/12 = 5/15 = 6/18
Row 3: 1/7 = 2/14 = 3/21 = 4/28 = 5/35 = 6/42
Row 4: 2/3 = 4/6 = 6/9 = 8/12 = 10/15 = 12/18
Row 5: 1/4 = 3/12 = 5/20 = 6/24 = 7/28 = 8/32
Row 6: 3/8 = 6/16 = 9/24 = 12/32 = 15/40 = 18/48
Row 7: 1/5 = 2/10 = 3/15 = 4/20 = 5/25 = 6/30
Row 8: 5/10 = 10/20 = 15/30 = 20/40 = 25/50 = 30/60