Question

HELP ME ASAP PLEASE!!

Answer 1

`(64)/(99)`

Explanation:

We require 2 equations, with the repeating digits , placed after the decimal point.

0.646464.... with 64 being repeated an infinite number of times

let x = 0.6464.... → (1)

multiply both sides by 100

100x = 64.6464... → (2)

subtract (1) from (2) , thus eliminating the repeated digits

99x = 64 ( divide both sides by 99 )

x =
`(64)/(99)`

Then 0.646464...... =
`(64)/(99)` ← as a fraction

Answer 2

To convert 0.64 to a fraction, we can follow these steps:

1. Identify the repeating digits: Since 0.64 does not have any repeating digits, we can move on to the next step.

2. Determine the value multiplied on both sides of the equals sign: In this case, the value multiplied on both sides of the equals sign is 100 (10 x 10).

3. Write the fraction: To convert 0.64 to a fraction, we can express it as a fraction over 100. Since there are two decimal places in 0.64, we can write it as 64/100.

4. Simplify the fraction (if needed): In this case, the fraction 64/100 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. So, 64/100 simplifies to 16/25.

Therefore, the fraction that represents 0.64 is 16/25.

Remember, when converting decimals to fractions, it is important to consider the repeating digits (if any) and the value multiplied on both sides of the equals sign.