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Q.


2 5 ÷1 1 2 = 4 15
Is the above equation true?

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a

False  

b

True

answer is A.

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Detailed Solution


The given equation is 2 5 ÷1 1 2 = 4 15 .
Considering LHS of the given equation-
2 5 ÷1 1 2  Converting the given mixed fraction into a fraction, we get
2 5 ÷1 1 2 = 2 5 ÷ 1×2+1 2 = 2 5 ÷ 3 2
The division of a fraction a b by another fraction x y is given as-
a b ÷ x y = a b ×reciprocal of  x y
∴ 2 5 ÷ 3 2 = 2 5 × reciprocal of  3 2 = 2 5 × 2 3 = 4 15
This is equal to the RHS of the given equation.
Hence, the given equation 2 5 ÷1 1 2 = 4 15 is true.
Therefore, the correct option is 1.
 
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2 5 ÷1 1 2 = 4 15 Is the above equation true?