The options given don't match with the right answer. The right answer is 7/18.
The simplified form of the given expression 2/2·7/18 is 7/18.
When is a fraction in its simplest form?
A fraction is said to be in its simplest form when the numerator and the denominator of the fraction are co-prime to each other. Co-prime means that they don't have any common factor between them except 1.
How do we solve the given question?
We are given the fractional expression (2/2)(7/18).
We first perform the given multiplication to us:(2/2)(7/18) = (2*7)/(2*18) = 14/36
Now, we write the numerator and denominator as a product of their prime factors.
14/36 = (2*7)/(2*2*3*3).
We cancel the common terms from the numerator and the denominator.
∴ 14/36 = (7)/(2*3*3) = 7/18
.∴ The simplified form of the given expression 2/2·7/18 is 7/18.
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