Question

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

Answer 1

Answer: B.
`\frac1{45}*5=\frac19`

Explanation:

We know that,

`(a)/(b)/(c)/(d)=(a)/(b)*(d)/(c)`

Then,
`\frac19/ 5`
`=\frac19*\frac15`

`=\frac1{45}`

i.e.

`\frac19/ 5=(1)/(45)\\\\\Rightarrow\ \frac1{45}*5=\frac19 \ \ \ \text{[Multiply 5 on both sides]}`

Therefore, the multiplication equation is related to the division equation
`\frac1{45}*5=\frac19`

Hence, the correct option is B.
`\frac1{45}*5=\frac19`