Question

the ratio of 9m to 36cm =​

Answer 1

Answer:

$1 \: m = 100 \: cm \\ 9\: m = 900 \: cm$

$\: \: \: \: 900 : 36 \\ = \frac{900}{36} \\ = \frac{25}{1} \\ = 25 : 1$

Answer 2

The ratio of 9 m to 36 cm is 25 : 1

Given :

The quantities 9 m and 36 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 9 m and 36 cm

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

We have , 1 m = 100 cm

∴ 9 m = 9 × 100 cm = 900 cm

Step 3 of 3 :

Find the ratio

Hence the required ratio

$\displaystyle \sf{ = 900 : 36 }$

$\displaystyle \sf{ = \frac{900}{36} }$

$\displaystyle \sf{ = \frac{25}{1} }$

$\displaystyle \sf{ }= 25 : 1$

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