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How do you convert 2.67 (67 repeating) as a fraction

How do you convert 2.67 (67 repeating) as a fraction

The repeatingdecimal2.67 (67 repeating) is equal to 265/99 as a fraction.To convert the repeating decimal 2.67 (67 repeating) to a fraction, we can use atechniquecalled geometric series. Let's call the repeating decimal as x:x = 2.676767...Now, we multiplybothsides by 100 to shift the decimal point two places to the right:100x = 267.676767...Next, we subtract the original equation from the multiplied equation to eliminate the repeating decimal:100x - x = 267.676767... - 2.676767...Simplify:99x = 265Now, divide both sides by 99 to solve for x:x = 265/99So, the repeating decimal 2.67 (67 repeating) is equal to 265/99 as a fraction.To know more aboutfractionherebrainly.com/question/30154928#SPJ2...

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