Question

This statement is true or false:- 20g:100g=1m:500cm

Answer 1

Answer:

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Answer 2

The statement is false

GIVEN:- 20g:100g=1m:500cm

TO FIND:- State whether the given statement is true or false

SOLUTION:-

• We can define a ratio of two quantities a and b of the same kind in the same units as a fraction $\frac{a}{b}$

20g:100g = 1m:500cm

LHS:-

20g: 100g can be written as

$= \frac{20}{100} \\ = \frac{1}{5}$

Reduced ratio = 1: 5

RHS:-

1m : 500 cm

Converting m into cm = 1m = 1000 cm

1000cm: 500 cm, can be written as

$= \frac{1000}{500} \\ = \frac{2}{1}$

Reduced ratio = 2: 1

LHS is not equal to RHS

Hence, the statement is false

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