Question

find the ratio of 90 cm to 1.5 m

Answer 1

To find ratio the quantities should be in same unit

so

1.5 = 1.5 × 100 = 150 cm

since 1 m = 100 cm

ratio = 90 /150

= 30 × 3 / 30 × 5

= 3/5

= 3:5

Answer 2

The ratio of 90 cm to 1.5 m is 3 : 5

Given :

The quantities 90 cm and 1.5 m

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 90 cm and 1.5 m

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

1.5 m = 150 cm

Step 3 of 3 :

Find the ratio

Hence the required ratio

= 90 : 150

$\displaystyle \sf{ = \frac{90}{150} }$

$\displaystyle \sf{ = \frac{3}{5} }$

$= \sf 3 : 5$

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