Question

Select all statements that show correct reasoning for finding LaTeX: 15\div\frac{2}{9}15 ÷ 2 9.

Group of answer choices


Multiply 15 by 2, then divide by 9.


Multiply 2 by 15, then divide by 9.


Multiply 15 by 9, then divide by 2.


Multiply 15 by 9, then multiply by 2 .


Multiply 15 by 9 then multiply by 1/2.
multiply 15 by 1/9 then multiply by 2

Answer 1

The answer above is half right, but the other answer is to multiply 15 by 1/9 then multiply by 2 AND 15 x 2 divided by 9.

Explanation:

Answer 2

Multiply 15 by 9, then divide by 2.

Explanation:

Given: LaTeX: 15\div\frac{2}{9}.

First lets write in a simple form

`15/(2)/(9)`

Now, simplifying by inversing the fraction

∵To divide fractions take the reciprocal of the divisor and multiply the dividend.

∴
`15* (9)/(2)`

∴ Multiply 15 by 9, then divide by 2.