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A small gecko is 7\8 inch long. A larger gecko is 3 5/7 times as long. How long is the larger gecko?

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Answer: 3 1/4 inches long

Explanation:

To find the length of the larger gecko, you can multiply the length of the smaller gecko by the given factor:

Length of the smaller gecko = 7/8 inch

Factor by which the larger gecko is longer = 3 5/7

First, convert the mixed number 3 5/7 to an improper fraction:

3 5/7 = (3 * 7 + 5) / 7 = (21 + 5) / 7 = 26/7

Now, you can find the length of the larger gecko by multiplying the length of the smaller gecko by the factor:

Length of the larger gecko = (7/8) * (26/7)

To simplify, you can cancel common factors in the numerator and denominator:

Length of the larger gecko = (7/8) * (26/7) = (7/7) * (26/8) = 26/8

Now, simplify the fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 2:

Length of the larger gecko = (26/2) / (8/2) = 13/4

So, the larger gecko is 13/4 inches long. You can also express this as a mixed number:

13/4 = 3 1/4

Therefore, the larger gecko is 3 1/4 inches long.

User Kemal Kefeli
by
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