Let's solve each of these equivalent ratio problems step by step. The goal is to
fill in the blank so that the two ratios are
equivalent (i.e., they represent the same value).
We'll use cross-multiplication or simplification to find the missing number.
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1) 72 : 64 = 9 : ___
Simplify 72:64 → divide both by 8 → 9:8
So, 72:64 = 9:8
✔ Answer:
8
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2) 2 : 6 = 14 : ___
Simplify 2:6 → 1:3
Now, 14:___ should be 1:3 → So, 14 × 3 = 42
Or: 2/6 = 14/x → 2x = 84 → x = 42
✔ Answer:
42
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3) ___ : 7 = 8 : 14
Simplify 8:14 → 4:7
So, we need ___ : 7 = 4 : 7 → missing number is
4
✔ Answer:
4
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4) 32 : ___ = 12 : 24
Simplify 12:24 → 1:2
So, 32 : ___ = 1 : 2 → So, 32 / x = 1 / 2 → x = 64
✔ Answer:
64
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5) ___ : 12 = 7 : 14
Simplify 7:14 → 1:2
So, ___ : 12 = 1 : 2 → x / 12 = 1 / 2 → x = 6
✔ Answer:
6
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6) 30 : 36 = 5 : ___
Simplify 30:36 → divide by 6 → 5:6
So, 5 : ___ = 5 : 6 → missing number is
6
✔ Answer:
6
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7) ___ : 6 = 4 : 3
Set up: x / 6 = 4 / 3 → 3x = 24 → x = 8
✔ Answer:
8
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8) 1 : 2 = ___ : 4
1:2 = x:4 → x / 4 = 1 / 2 → x = 2
✔ Answer:
2
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9) 4 : 2 = 20 : ___
Simplify 4:2 → 2:1
So, 20 : x = 2 : 1 → 20 / x = 2 / 1 → 2x = 20 → x = 10
✔ Answer:
10
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10) 6 : ___ = 12 : 18
Simplify 12:18 → 2:3
So, 6 : x = 2 : 3 → 6 / x = 2 / 3 → 2x = 18 → x = 9
✔ Answer:
9
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11) 63 : ___ = 7 : 2
Set up: 63 / x = 7 / 2 → 7x = 126 → x = 18
✔ Answer:
18
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12) ___ : 5 = 18 : 30
Simplify 18:30 → 3:5
So, x : 5 = 3 : 5 → x = 3
✔ Answer:
3
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13) 18 : 27 = 16 : ___
Simplify 18:27 → 2:3
So, 16 : x = 2 : 3 → 16 / x = 2 / 3 → 2x = 48 → x = 24
✔ Answer:
24
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14) 6 : ___ = 9 : 12
Simplify 9:12 → 3:4
So, 6 : x = 3 : 4 → 6 / x = 3 / 4 → 3x = 24 → x = 8
✔ Answer:
8
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15) 15 : 3 = ___ : 1
15:3 = 5:1 → So, ___ : 1 = 5 : 1 → missing number is
5
✔ Answer:
5
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16) ___ : 4 = 30 : 24
Simplify 30:24 → 5:4
So, x : 4 = 5 : 4 → x = 5
✔ Answer:
5
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17) ___ : 14 = 1 : 2
x / 14 = 1 / 2 → 2x = 14 → x = 7
✔ Answer:
7
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18) 6 : ___ = 54 : 27
Simplify 54:27 → 2:1
So, 6 : x = 2 : 1 → 6 / x = 2 / 1 → 2x = 6 → x = 3
✔ Answer:
3
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19) 12 : 15 = ___ : 45
Simplify 12:15 → 4:5
So, x : 45 = 4 : 5 → x / 45 = 4 / 5 → 5x = 180 → x = 36
✔ Answer:
36
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20) 6 : 2 = ___ : 18
Simplify 6:2 → 3:1
So, x : 18 = 3 : 1 → x / 18 = 3 / 1 → x = 54
✔ Answer:
54
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✔ Final Answers:
1.
8
2.
42
3.
4
4.
64
5.
6
6.
6
7.
8
8.
2
9.
10
10.
9
11.
18
12.
3
13.
24
14.
8
15.
5
16.
5
17.
7
18.
3
19.
36
20.
54
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You can now fill these into the answer column on your worksheet! Let me know if you'd like this printed out or formatted differently.
Parent Tip: Review the logic above to help your child master the concept of reducing ratios worksheet.
