Question

1. What is 0.36 repeating expressed as a fraction in simplest form? Solve and show your work.

Answer 1

Answer:

The required simplest fraction form of the given decimal :

$\implies\frac{9}{25}$

Step-by-step explanation:

The decimal is given to be 0.36

We need to represent this decimal in the fraction form but in the simplest form

Since, The decimal is after two places so the decimal can be removed by dividing the decimal by 100

$0.36=\frac{36}{100}$

Now, to write this fraction in the simplest form first divide the both numerator and denominator by 4

$\implies\frac{9}{25}$

Thus, The above is the required simplest fraction form of the given decimal

Answer 2

Answer:

I think this is probably late, but the answer is 4/11.

Step-by-step explanation:

0.36363636363 is the first repeating fraction and 36.36363636 is the second repeating fraction, because you multiply it by 100.

When 0.3636363636363 is multiplied by 100, the decimal moves from in front of the number 36 and moves behind it. So the answer is now 36.36363636

You're suppose to subtract those two minus each other, the denominator

the fraction is technically 36/99, but simplified version is 4/11. So the answer is indeed 4/11.

Thanks for your time!