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If 1/20 1/30 1/12 =x/y, then find x/y =?
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If 1/20 1/30 1/12 =x/y, then find x/y =?
Given:
1/20 1/30 1/12 = x/y

To Find:
x/y = ?

Solution:

To find x/y, we need to simplify the given expression.

Step 1: Finding a common denominator
To add or subtract fractions, we need to find a common denominator. In this case, the common denominator for 20, 30, and 12 is 60. Therefore, we need to convert each fraction to have a denominator of 60.

1/20 = (1/20) * (3/3) = 3/60
1/30 = (1/30) * (2/2) = 2/60
1/12 = (1/12) * (5/5) = 5/60

So, the given expression becomes:

3/60 + 2/60 + 5/60 = x/y

Step 2: Adding the fractions
Now, we can add the fractions with the same denominator:

(3 + 2 + 5)/60 = 10/60 = 1/6

Therefore, x/y = 1/6.

Final Answer:
x/y = 1/6

Explanation:
To find x/y, we first found a common denominator for the given fractions by multiplying each fraction with a suitable value to make the denominator equal to 60. Then, we added the fractions and simplified the result to obtain x/y = 1/6.
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