Respuesta :

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Hi there!

We are given the following expression:

[tex]\frac{1}{6}[/tex] ÷[tex]\frac{1}{5}[/tex]

And we would like to solve it

Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.

So the reciprocal of 1/5 is 5/1, or 5/1

So we will multiply 1/6 by 5

[tex]\frac{1}{6} * 5 = \frac{5}{6}[/tex]

The fraction is in the simplest form; 5/6 is the answer.

Hope this helps!

1/6 divided by 1/5
When dividing fractions we keep the first fraction the same , change the sign to multiplication and flip second fraction. Some teachers use KCF (keep change flip) as a way for students to remember .
So let’s do it :
1/6 x 5/1 = 5/6
Your answer is 5/6