How do you write 0.05 repeating as a fraction?

99 5 ​ ;

Answered by isyllus | 2024-06-11

The **fraction **that represent the given repeating **decimal **number is 5/99.
The given repeating of decimal number is 0. 05 ˉ .
The decimal number can be written as 0.0555......
Take x= 0.050505..... ---------(i)
Multiply equation (i) by 100, we get
100x=5.050505.... ---------(ii)
Subtract equation (i) from (ii), we get
100x-x=5.050505......-0.050505......
99x=5
x=5/99
Therefore, the **fraction **that represent the given repeating **decimal **number is 5/99.
To learn more about the **fraction **visit:
brainly.com/question/1301963.
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Answered by bhoopendrasisodiya34 | 2024-06-18

The repeating decimal 0.05 can be expressed as the fraction \frac{5}{99}. This conversion is achieved by using algebraic manipulation to isolate x and eliminate the repeating part. By following a step-by-step approach, we can clearly see how to derive the fraction from the decimal.
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Answered by isyllus | 2024-09-03