Best solutions to - "How can you change a repeating decimal 0.25..."

Osvaldo Apodaca

Answered question

2022-01-16

How can you change a repeating decimal 0.25 into a percent?

stomachdm

Beginner2022-01-17Added 33 answers

Repeating decimal would be

x = 0.252525

.......
Hence

100 x = 25.2525

.....
Now subtract x fro 100 x,

99 x = 25

x = \frac{25}{99}

. In percentage terms it would be

\frac{2500}{99} %

Becky Harrison

Beginner2022-01-18Added 40 answers

Step 1: To convert 0.25 repeating into a fraction, begin writing this simple equation:

n = 0.25

(equation 1)
Step 2: Notice that there are 2 digitss in the repeating block (25), so multiply both sides by 1 followed by 2 zeros, i.e., by 100.

100 \times n = 25.25

(equation 2)
Step 3: Now subtract equation 1 from equation 2 to cancel the repeating block (or repetend) out.

100 \times n = 25.25

1 \times n = 0.25

99 \times n = 25

Answer:

n = \frac{25}{99}

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