1.

Find the highest common factor of 0.9, 0.48 and 0.525.1. \(\dfrac{3}{400}\)2. \(\dfrac{3}{150}\)3. \(\dfrac{3}{200}\)4. \(\dfrac{3}{100}\)

Answer» Correct Answer - Option 3 : \(\dfrac{3}{200}\)

Concept used:​

HCF of fractions = HCFof numerators ÷ LCMof denominators

Calculation:

We can write 0.9as 9/10

Similarly, 0.48 = 48/100 = 12/25

And, 0.525 = 525/1000 = 21/40

Now, we can write 9as 1× 3× 3

Similarly, we can write 12as 1× 3× 4

And, 21 as 1× 3× 7

So, HCFof 9, 12 and 21= 3

We can write 10as 2× 5

Similarly, we can write 25as 5× 5

And, we can write 40 as 2× 2× 2× 5

So, LCMof 10, 25, 40 =2×2× 2× 5× 5 = 200

So, HCFof 0.9, 0.48and 0.525is 3/200

∴LCM of 0.9, 0.48and 0.525is 3/200.


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