use multiplying by one to find and expression equivalent to 16/5 with a denominator of 15y. type as a fraction
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To change the denominator of 16/5 to 15y, we need to find a way to multiply the denominator by something to get 15y. In this case, we can multiply the denominator by (3y/3y) because anything multiplied by 1 does not change its value.
So, let's multiply both the numerator and denominator of 16/5 by (3y/3y):
(16/5) * (3y/3y) = (16 * 3y) / (5 * 3y)
Now, let's simplify this expression:
The numerator is 16 * 3y = 48y, and the denominator is 5 * 3y = 15y.
Therefore, the expression equivalent to 16/5 with a denominator of 15y is:
48y / 15y
Simplifying this expression further, we can cancel out the common factor of 3y in the numerator and denominator:
48y / 15y = (48/15) * (y/y) = 16/5 * 1 = 16/5
So, the final answer as a fraction is:
16/5