Fill in the following blanks:
15/18 = _ /6 = 10/_ = _/30
[Are these equivalent ratios?]

Solution:

We use the concept of ratio and proportion to answer the given question.
We know that,
15/18 = _ /6
Let this blank be x.
Therefore, 15/18 = x/6
 ⇒ 15 x 6 = 18x
 ⇒ 90 = 18x
 ⇒ x = 90/18
 ⇒ x = 5
Therefore, 15/18 = 5/6

We know that, 
15/18 = 10/_
Let this blank be y.
Therefore, 15/18 = 10/y
 ⇒ 15y = 10 x 18
 ⇒ 15y = 180
 ⇒ y = 180/15
 ⇒ y = 12
Therefore, 15/18 = 10/12

We know that,
15/18 = _ /30
Let this blank be z.
Therefore, 15/18 = z/30
 ⇒ 15 x 30 = 18z
 ⇒ 450 = 18z
 ⇒ z = 450/18
 ⇒ z = 25
Therefore, 15/18 = 25/30
Therefore, 15/18 = 5/6 = 10/12 = 25/30
Now, are these equivalent ratios?
Yes, these are equivalent ratios since all the ratios are the same.

NCERT Solutions for Class 6 Maths Chapter 12 Exercise 12.1 Question 5

Fill in the following blanks:
15/18 = _ /6 = 10/_ = _/30
[Are these equivalent ratios?]

Summary: 

Using the concept of ratio and proportion, it can be concluded that the blanks are 5, 12 and 25 respectively. The ratios 15/18 = 5/6 = 10/12 = 25/30 are equivalent ratios since all the ratios are the same.
 

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