Question

Find the ratio between the given quantities in their lowest terms. 1. 30, 42 2. 45, 60 3. 69,93 4. 213, 330 5. 248, 440 6. 4 weeks, 49 days 7. 2 L, 200 M 8. 23 days, 2 weeks​

Answer 1

Answer with Step-by-step explanation:

1) 30, 42

⇒ 30 : 42 ⇒ 30/42 ⇒ 5/7

⇒ 5 : 7

2) 45, 60

⇒ 45 : 60 ⇒ 45/60 ⇒ 3/4

⇒ 3 : 4

3) 69, 93

⇒ 69 : 93 ⇒ 69/93 ⇒ 23/31

⇒ 23 : 31

4) 213, 330

⇒ 213 : 330 ⇒ 213/330 ⇒ 71/110

⇒ 71 : 110

5) 248, 440

⇒ 248 : 440 ⇒ 248/440 ⇒ 31/55

⇒ 31 : 55

6) 4 weeks, 49 days

We know that a week has 7 days.

So, 4 weeks = 4 × 7 = 28 days

⇒ 28 days : 49 days

⇒ 28/49 ⇒ 4/7

⇒ 4 : 7

7) 2 L, 200 ml

We know that 1 L = 1000 ml

So, 2 L = 2000 ml

⇒ 2000 ml : 200 ml

⇒ 2000/200 ⇒ 10/1

⇒ 10 : 1

8. 23 days, 2 weeks​

We know that 1 week has 7 days.

So, 2 weeks  = 2 × 7 = 14 days

⇒ 23 days : 14 days

⇒ 23 : 14             { 23 is a prime number itself so it remains the same}

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