Answer:
1. 5
Since
11 : X = 33 : 15
Then we know
X/11 = 15/33
Multiplying both sides by 11 cancels on the left
11 × (X/11) = (15/33) × 11
X = (15/33) × 11
Then solving for X
X = 11 × (15/33)
X = 5
Therefore
11 : 5 = 33 : 15
2. 18.75
X : 30 = 5 : 8
X/30 = 5/8
Multiplying both sides by 30 cancels on the left
30 × (X/30) = (5/8) × 30
X = (5/8) × 30
X = 30 × (5/8)
X = 18.75
18.75 : 30 = 5 : 8
3. 2.3142857142857
35 : 9 = 9 : X
9/35 = X/9
Multiplying both sides by 9 cancels on the right
9 × (9/35) = (X/9) × 9
9 × (9/35) = X
X = 9 × (9/35)
X = 2.3142857142857
35 : 9 = 9 : 2.3142857142857
4. 42
4 : 6 = 28 : X
6/4 = X/28
Multiplying both sides by 28 cancels on the right
28 × (6/4) = (X/28) × 28
28 × (6/4) = X
Then solving for n
X = 28 × (6/4)
X = 42
4 : 6 = 28 : 42
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Answers & Comments
Answer:
1. 5
Since
11 : X = 33 : 15
Then we know
X/11 = 15/33
Multiplying both sides by 11 cancels on the left
11 × (X/11) = (15/33) × 11
X = (15/33) × 11
Then solving for X
X = 11 × (15/33)
X = 5
Therefore
11 : 5 = 33 : 15
2. 18.75
Since
X : 30 = 5 : 8
Then we know
X/30 = 5/8
Multiplying both sides by 30 cancels on the left
30 × (X/30) = (5/8) × 30
X = (5/8) × 30
Then solving for X
X = 30 × (5/8)
X = 18.75
Therefore
18.75 : 30 = 5 : 8
3. 2.3142857142857
Since
35 : 9 = 9 : X
Then we know
9/35 = X/9
Multiplying both sides by 9 cancels on the right
9 × (9/35) = (X/9) × 9
9 × (9/35) = X
Then solving for X
X = 9 × (9/35)
X = 2.3142857142857
Therefore
35 : 9 = 9 : 2.3142857142857
4. 42
Since
4 : 6 = 28 : X
Then we know
6/4 = X/28
Multiplying both sides by 28 cancels on the right
28 × (6/4) = (X/28) × 28
28 × (6/4) = X
Then solving for n
X = 28 × (6/4)
X = 42
Therefore
4 : 6 = 28 : 42