Question

ratio of 80cm to 4m​

Answer 1

1m = 100cm

4m = 4×100 = 400cm

ratio =

$\frac{80}{400} = \frac{8}{40} = \frac{1}{5}$

1:5

Answer 2

The ratio of 80 cm to 4 m is 1 : 5

Given :

The quantities 80 cm and 4 m

To find :

The ratio of 80 cm to 4 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 80 cm and 4 m

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

1 m = 100 cm

∴ 4 m = 400 cm

Step 3 of 3 :

Find the ratio

Hence the required ratio

= The ratio of 80cm and 4m

= 80 : 400

$\displaystyle \sf{ = \frac{80}{400} }$

$\displaystyle \sf{ = \frac{80 \div 80}{400 \div 80} }$

$\displaystyle \sf{ = \frac{1}{5} }$

$\displaystyle \sf{ = 1 : 5 }$

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