Question

Which of the following is the ratio of 10 mm to 6 cm?

Answer 1

6 x 10 = 60mm 10:60=1:6

Answer 2

The ratio of 10 mm to 6 cm is 1 : 6

Given :

The quantities 10 mm and 6 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 10 mm and 6 cm

Step 2 of 3 :

Express them with same unit

The given quantities are of different unit

We express them with same unit

6 cm = 60 cm

Step 3 of 3 :

Find the ratio

Hence the required ratio

= 10 : 60

$\displaystyle \sf{ = \frac{10}{60} }$

$\displaystyle \sf{ = \frac{1}{6} }$

$\displaystyle \sf{ = 1 : 6 }$

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