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Q.

Simplify the following: :

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a

7:12

b

5:10

c

6:8

d

5:10

answer is A.

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Detailed Solution

Concept- Ratio is defined as the difference between two number’s relative sizes and it is denoted by the symbol ‘:’. A proportion is the same as two ratios are equal.
To simplify the given ratio, select the common multiples from both values and divide each by the given number to get the simplified result. The common multiples are derived from both numbers. Least Common Multiple (LCM) of the given numbers is the concept.
The ratio is given as

.
First we will determine the LCM of the given numbers 35 and 60.

Thus, the LCM of the 35 and 60 is 5.
Then, we obtain
Question Image

As a result, 7:12 is the simplest form of 35:60.
Hence, the correct answer is option 1.

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