Question

ratio of 3m to 15 cm is​

Answer 1

The ratio of 3 m to 15 cm is 20 : 1

Given :

The quantities 3 m and 15 cm

To find :

The ratio

Concept :

Ratio : Ratio means comparing of two quantities

The ratio of a number a to another number b ( where b ≠ 0) is a fraction a/b and it is written a : b , the first term a is called antecedent and the second term is called consequent

Solution :

Step 1 of 3 :

Write down the given quantities

The quantities are 3 m and 15 cm

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

3 m = 300 cm

Step 3 of 3 :

Find the ratio

Hence the required ratio

= 300 : 15

= 20 : 1

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Answer 2

Given:  

Two quantities 3m and 15 cm.

To Find:  

The ratio of the two quantities is?  

Solution:  

1. The ratio of two quantities a and b is calculated by using the formula (a/b). The ratio of a and b is denoted as a:b.  

=> a:b simply implies a/b.  

2. The given quantities are 3m and 15 cm. The units of the two quantities are different. Hence, we have to make the units similar.  

=> The value of 1 meter is 100 cm,

=> The value of 3 meters is 300 cm,  

=> The ratio of 3m to 15 cm is,

=> 3m / 15 cm is​,  

=> 300 cm/ 15 cm, ( Units are same hence operation can be performed  ).  

=> 20/1.  

3. 3m / 15 cm = 20 : 1

Therefore, the ratio of 3m to 15 cm is 20:1.