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Question
Carry out the following addition of a rational number.
`5/36 + 6/42`
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Solution
At first, we will calculate the LCM of 36 and 42. The prime factorisation is 36 and 42 is,
36 = 2 × 2 × 3 × 3
42 = 2 × 3 × 7
Now, LCM of 36 and 42 = 2 × 2 × 3 × 3 × 7 = 252
`5/36 + 6/42`
`= (5 xx 7)/(36 xx 7) + (6 xx 6)/(42 xx 6)`
`= 35/252 + 36/252`
`= (35 + 36)/252`
`= 71/252`
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