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.