Question

Find the ratio of 3 km to 900m​

Answer 1

The ratio of 3 km to 900 m​ is 10: 3.

Concept used:

Ratio:

• Ratio is a comparison of 2 numbers. The two numbers in the ratio are separated with a colon (:).
• For example, the ratio of 16 and 7 is written as 16: 7, read as 16 is to 7.
• The ratio compares the two quantities in terms of how many times is one quantity of the other.

The following points should be kept in your mind when you take the ratio of two things.

(i) Comparative quantities should be in the same unit.

(ii) A ratio has no units in itself.

(iii) A ratio should be expressed in the form of a numerator and denominator. For example, suppose we have to compare a to b, then we write it as or a: b.

(iv) No ratio change if we multiply or divide it by the same non-zero numbers.

1 km = 1000 m

Given: 3 km to 900 m

To find: The ratio of 3 km to 900 m​

Solution:

Step1: Convert 3 km into m

1 km = 1000m

$3 \ km = 3 \times100 = 3000\ m$

Step2: Find the ratio of  3000 m and  900 m:

The ratio of  3000 m and  900 m

Ratio =     3000 m : 900 m = 30 m : 9 m =    10 m : 3 m

Hence, then the ratio of 3 km to 900 m​ is 10: 3.

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Answer 2

The ratio of 3 km to 900 m is 10 : 3

Given :

The quantities 3 km and 900 m

To find :

The ratio of 3 km and 900 m

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 km and 900 m

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

We know that , 1 km = 1000 m

∴ 3 km = 3 × 1000 m = 3000 m

Step 3 of 3 :

Find the ratio

Hence the required ratio

= The ratio of 3 km and 900 m

= 3000 : 900

$\displaystyle \sf = \frac{3000}{900}$

$\displaystyle \sf = \frac{10}{3}$

= 10 : 3

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