Question

Qual é o numero que substitui a letra tornando as Fraçoes equivalentes
a) A/15=48/60
b) 54/22=27/B
c) 169/26=13/C
d)12/4=144/D
e)72/36=216/E

Answer 1

$\displaystyle \mathsf{\dfrac{A}{15}=\dfrac{48}{60}}\\\\\displaystyle \mathsf{60A=15\times48}\\\displaystyle \mathsf{60A=720}\\\\\displaystyle \mathsf{A=\dfrac{720}{60}\to12}$

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$\displaystyle \mathsf{\dfrac{54}{22}=\dfrac{27}{B}}\\\\\displaystyle \mathsf{54B=27\times22}\\\displaystyle \mathsf{54B=594}\\\\\displaystyle \mathsf{B=\dfrac{594}{54}\to11}$

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$\displaystyle \mathsf{\dfrac{169}{26}=\dfrac{13}{C}}\\\\\displaystyle \mathsf{169C=13\times26}\\\displaystyle \mathsf{169C=338}\\\\\displaystyle \mathsf{C=\dfrac{338}{169}\to2}$

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$\displaystyle \mathsf{\dfrac{12}{4}=\dfrac{144}{D}}\\\\\displaystyle \mathsf{12D=4\times144}\\\displaystyle \mathsf{12D=576}\\\\\displaystyle \mathsf{D=\dfrac{576}{12}\to48}$

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$\displaystyle \mathsf{\dfrac{72}{36}=\dfrac{216}{E}}\\\\\displaystyle \mathsf{72E=216\times36}\\\displaystyle \mathsf{72E=7776}\\\\\displaystyle \mathsf{E=\dfrac{7776}{72}\to108}$