Question

Determine o valor de cada uma das letras a, b, c e d, sabendo que as frações são equivalentes. 

a) 6/14 =
$\frac{?}{56}$
b) 72/88 =
$\frac{9}{?}$
c) 8/12 =
$\frac{64}{?}$
d) 10/20 =
$\frac{?}{6}$
​

Answer 1

Explicação passo-a-passo:

a)

$\sf \dfrac{6}{14}=\dfrac{A}{56}$

$\sf 14A=6\cdot56$

$\sf 14A=336$

$\sf A=\dfrac{336}{14}$

$\sf \red{A=24}$

b)

$\sf \dfrac{72}{88}=\dfrac{9}{B}$

$\sf 72B=88\cdot9$

$\sf 72B=792$

$\sf B=\dfrac{792}{72}$

$\sf \red{B=11}$

c)

$\sf \dfrac{8}{12}=\dfrac{64}{C}$

$\sf 8C=12\cdot64$

$\sf 8C=768$

$\sf C=\dfrac{768}{8}$

$\sf \red{C=96}$

d)

$\sf \dfrac{10}{20}=\dfrac{D}{6}$

$\sf 20D=10\cdot6$

$\sf 20D=60$

$\sf D=\dfrac{60}{20}$

$\sf \red{D=3}$