Question

32- Nas fichas a seguir, cada letra representa um número e as frações são equivalentes. Determine o número correspondente a cada letra.

>A/5=16/20
6/B=3/7
81/C=9/13=D/39
6/11=48/E=F33

Answer 1

Resolução:

$\mathsf{\dfrac{A}{5}=\dfrac{16}{20}}\\\\\\\mathsf{A=\dfrac{16\cdot 5}{20}}\\\\\\\mathsf{A=\dfrac{\diagup \!\!\!\!\! 4\cdot 4\cdot \diagup \!\!\!\!5}{\diagup \!\!\!\!5\cdot \diagup \!\!\!\!\!4}}\\\\\\\boxed{\mathsf{A=4}}\: \: \checkmark$

- - - - -

$\mathsf{\dfrac{6}{B}=\dfrac{3}{7}}\\\\\\\mathsf{3B=6\cdot 7}\\\\\\\mathsf{B=\dfrac{6\cdot 7}{3}}\\\\\\\mathsf{B=\dfrac{2\cdot \diagup \!\!\!\!\! 3\cdot 7}{\diagup \!\!\!\!\!3}}\\\\\\\mathsf{B=2\cdot 7}\\\\\\\boxed{\mathsf{B=14}}\: \: \checkmark$

- - - - -

$\mathsf{\dfrac{81}{C}=\dfrac{9}{13}}\\\\\\\mathsf{9C=81\cdot 13}\\\\\\\mathsf{C=\dfrac{81\cdot 13}{9}}\\\\\\\mathsf{C=\dfrac{\diagup \!\!\!\! 9\cdot 9\cdot 13}{\diagup \!\!\!\!9}}\\\\\\\mathsf{C=9\cdot 13}\\\\\\\boxed{\mathsf{C=117}}\: \: \checkmark$

- - - - -

$\mathsf{\dfrac{9}{13}=\dfrac{D}{39}}\\\\\\\mathsf{D=\dfrac{9\cdot 39}{13}}\\\\\\\mathsf{D=\dfrac{9\cdot 3\cdot \diagup \!\!\!\!\!\! 13}{\diagup \!\!\!\!\!\!13}}\\\\\\\mathsf{D=9\cdot 3}\\\\\\\boxed{\mathsf{D=27}}\: \: \checkmark$

- - - - -

$\mathsf{\dfrac{6}{11}=\dfrac{48}{E}}\\\\\\\mathsf{6E=48\cdot 11}\\\\\\\mathsf{E=\dfrac{48\cdot 11}{6}}\\\\\\\mathsf{E=\dfrac{8\cdot \diagup \!\!\!\! 6\cdot 11}{\diagup \!\!\!\!6}}\\\\\\\mathsf{E=8\cdot 11}\\\\\\\boxed{\mathsf{E=88}}\: \: \checkmark$

- - - - -

$\mathsf{\dfrac{6}{11}=\dfrac{F}{33}}\\\\\\\mathsf{11F=33\cdot 6}\\\\\\\mathsf{F=\dfrac{33\cdot 6}{11}}\\\\\\\mathsf{F=\dfrac{3\cdot \diagup \!\!\!\!\! 11\cdot 6}{\diagup \!\!\!\!\! 11}}\\\\\\\mathsf{F=3\cdot 6}\\\\\\\boxed{\mathsf{F=18}}\: \: \checkmark$

Answer 2

Resposta:

A =4

B= 14

C = 117

D=27

ESPERO TER AJUDADO:) :D ;) ' _ '