Which multiplication equation is related to the division equation 1/9 ÷ 5 = __
A. 5 x 1/25=1/9
B. 1/45 x 5=1/9
C. 1/45 x 1/5=1/9
D. 5 x 1/15=1/9

Respuesta :

Answer: B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Step-by-step explanation:

We know that,

[tex]\dfrac{a}{b}\div\dfrac{c}{d}=\dfrac{a}{b}\times\dfrac{d}{c}[/tex]

Then, [tex]\dfrac19\div 5[/tex] [tex]=\dfrac19\times\dfrac15[/tex]

[tex]=\dfrac1{45}[/tex]

i.e.

[tex]\dfrac19\div 5=\dfrac{1}{45}\\\\\Rightarrow\ \dfrac1{45}\times5=\dfrac19 \ \ \ \text{[Multiply 5 on both sides]}[/tex]

Therefore, the multiplication equation is related to the division equation [tex]\dfrac1{45}\times5=\dfrac19[/tex]

Hence, the correct option is B. [tex]\dfrac1{45}\times5=\dfrac19[/tex]