IV. Pupil's Activity Activity 1: Write = in the circle if the given pair of ratios are equal and = if not. 1) 64:12 V 80: 15 6) 8:12 10:15 2) 3/7 24/56 7) 16/32 8 2/6 3) 6/7 75/100 8) 10:13 00 OO 20:23 4) 15:12 35:28 9) 15:6 000 20:8 5) 14:40 09:24 10) 60/100 9/15
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WRITE = IN THE CIRCLE IF THE GIVEN PAIR OF RATIOS ARE EQUAL AND ≠ IF NOT
Answer:
1) =
2) =
3) ≠
4) =
5) ≠
6) =
7) ≠
8) ≠
9) =
10) =
Step-by-step explanation:
1) 64:12 ◯ 80: 15
The common greatest multiple of 64 and 12 is 4:
64 ÷ 4 = 16
12 ÷ 4 = 3
Hence, the ratio in lowest term is 16:3
Meanwhile, the common greatest multiple of 80 and 15 is 5:
80 ÷ 5 = 16
15 ÷ 5 = 3
Hence, the ratio in lowest term is 16:3
Since 16:3 is equal to 16:3, the answer is =.
2) 3/7 ◯ 24/56
To get the answer, divide both the fraction given:
3 ÷ 7 = 0.43
24 ÷ 56 = 0.43
Since 0.43 is equal to 0.43, the answer is =.
3) 6/7 ◯ 75/100
To get the answer, divide both the fraction given
6 ÷ 7 = 0.86
75 ÷ 100 = 0.75
Since 0.86 is not equal to 0.75, the answer is ≠.
4) 15:12 ◯ 35:28
The common greatest multiple of 15 and 12 is 3:
15 ÷ 3 = 5
12 ÷ 3 = 4
Hence, the ratio in its lowest term is 5:4
Meanwhile, the common greatest multiple of 35 and 28 is 7:
35 ÷ 7 = 5
28 ÷ 7 = 4
Hence, the ratio in its lowest term is 5:4
Since 5:4 is equal to 5:4, the answer is =.
5) 14:40 ◯ 09:24
The common greatest multiple of 14 and 40 is 2:
14 ÷ 2 = 7
40 ÷ 2 = 20
Hence, the ratio in its lowest term is 7:20
Meanwhile, the common greatest multiple of 9 and 24 is 3:
9 ÷ 3 = 3
24 ÷ 3 = 8
Hence, the ratio in its lowest term is 3:8
Since 7:20 is not equal to 3:8, the answer is ≠.
6) 8:12 ◯ 10:15
The common greatest multiple of 8 and 12 is 4:
8 ÷ 4 = 2
12 ÷ 4 = 3
Hence, the ratio in its lowest term is 2:3
Meanwhile, the common greatest multiple of 10 and 15 is 5:
10 ÷ 5 = 2
15 ÷ 5 = 3
Hence, the ratio in its lowest term is 2:3
Since 2:3 is equal to 2:3, the answer is =.
7) 16/32 ◯ 8 2/6
To get the answer, divide both the fraction given:
16 ÷ 32 = 0.5
2 ÷ 6 = 0.3
Since 0.5 is not equal to 0.3, the answer is ≠.
8) 10:13 ◯ 20:23
The common greatest multiple of 14 and 40 is 1:
Hence, the ratio in its lowest term is 10:13
Meanwhile, the common greatest multiple of 20 and 23 is 1:
Hence, the ratio in its lowest term is 20:23
Since 10:13 is not equal to 20:23, the answer is ≠.
9) 15:6 ◯ 20:8
The common greatest multiple of 15 and 6 is 3:
15 ÷ 3 = 5
6 ÷ 3 = 2
Hence, the ratio in its lowest term is 5:2
Meanwhile, the common greatest multiple of 20 and 8 is 4:
20 ÷ 4 = 5
8 ÷ 4 = 2
Hence, the ratio in its lowest term is 5:2
Since 5:2 is equal to 5:2, the answer is =.
10) 60/100 ◯ 9/15
To get the answer, divide both the fraction given:
60 ÷ 100 = 0.6
9 ÷ 15 = 0.6
Since 0.6 is equal to 0.6, the answer is =.
For more reference: brainly.ph/question/24182508
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Answer:
To solve, all you need to do is the butterfly method. Convert the ratio to fraction then multiply numerator to denominator then vise versa if the answers are equal then the ratios are equal.