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Convert the decimal below to a fraction in simplest form. 0.29 Answer:

Convert the decimal below to a fraction in simplest form.\newline00.2929\newlineAnswer:

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Full solution

Q. Convert the decimal below to a fraction in simplest form.\newline00.2929\newlineAnswer:
  1. Understand decimal place value: Understand the decimal and its place value. 0.290.29 is a decimal with two digits after the decimal point, which means it is in the hundredths place. To convert it to a fraction, we can write it over 100100 and then simplify if possible. 0.29=291000.29 = \frac{29}{100}
  2. Convert decimal to fraction: Simplify the fraction.\newlineTo simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 2929 and 100100 is 11, since 2929 is a prime number and has no common divisors with 100100 other than 11.\newlineTherefore, the fraction 29100\frac{29}{100} is already in its simplest form.

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