Karl measured the wingspan of the butterfly and the moth shown below. How many times larger is the moth than the butterfly. butterfly 3 1/4in. 3 1/2in.

The moth is 1.07 times larger than the butterfly.
In mathematics, ratios are used to determine the relationship between two numbers it indicates how many times is one number to another number.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
It is given that the span of the butterfly is 3 ( 1 / 4 ) and the span of the moth is 3 ( 1 / 2 ). The size of the moth in comparison to the size of the butterfly will be calculated as below:-
Finding the ratio of the span of the moth to the span of the butterfly will give a comparison between both of them.
An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
Moth / Butterfly = 3 ( 1 / 2 ) / 3 ( 1 / 4 )
Moth / Butterfly =( 7 / 2 ) / (13 / 4 )
Moth / Butterfly =1.07
Moth =1.07 Butterfly
Therefore, the moth is 1.07 times larger than the butterfly.
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