Select all statements that show correct reasoning for finding `12\div\frac{3}{5}`. Multiply 12 by 5, then multiply by $ Multiply 12 by 3, then divide by 5. Multiply 12 by 1/5 then multiply by 3. Multiply 12 by 5, then divide by 3.

Respuesta :

Given:

The expression is:

[tex]12\div \dfrac{3}{5}[/tex]

To find:

The correct statement for solution of the given expression.

Solution:

We have,

[tex]12\div \dfrac{3}{5}[/tex]

If a number is divided by a fraction, then we need to multiply the reciprocal of the fraction with the number.

It can be written as

[tex]12\div \dfrac{3}{5}=12\times \dfrac{5}{3}[/tex]

[tex]12\div \dfrac{3}{5}=\dfrac{12\times 5}{3}[/tex]

[tex]12\div \dfrac{3}{5}=\dfrac{60}{3}[/tex]

[tex]12\div \dfrac{3}{5}=20[/tex]

To simplify the given expression, we need to multiply 12 by 5, then divide by 3.

Therefore, the correct option is D.