Karl measured the wingspan of the butterfly and the moth. How many times larger is the moth (3 1/2) than the Butterfly (3 1/4)? We und

Question

Karl measured the wingspan of the butterfly and the moth. How many times larger is the moth (3 1/2) than the Butterfly (3 1/4)?
We understand that it is 1/4 in bigger and 0.25 in bigger, but the question is how many times bigger, not how many inches. Please help!

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    2022-01-11T20:29:30+00:00

    The wingspan of the moth is 3\dfrac{1}{2}\ in and the the wingspan of the butterfly is 3\dfrac{1}{4}\ in.

    To find how many times larger is the moth than the butterfly you should divide the wingspan of the moth by the wingspan of the butterfly:

    \dfrac{3\dfrac{1}{2} }{3\dfrac{1}{4} }=\dfrac{\dfrac{7}{2}}{\dfrac{13}{4}}=\dfrac{7}{2}\cdot \dfrac{4}{13}=\dfrac{7\cdot 4}{2\cdot 13}=\dfrac{14}{13}.

    Answer: the moth is larger \dfrac{14}{13}=1\dfrac{1}{13} times.

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