The repeating decimal 0.02 can be converted to a fraction by setting it equal to a variable, multiplying by 10 to the power of the number of repeating digits, subtracting the original equation, and then solving for the variable. The result is 2/90 which simplifies to 1/45.
The decimal 0.02 would be equivalent to 2 percent, or 2 per hundred. In the decimal 0.02, what place is the 2 in? It's in the hundredths place. If you made the decimal 0.02 into a fraction it would be 2/100, which is the same as '2 hundredths.
Answer: 0.2 when converted into a fraction is 1/5.
To convert a decimal number into a fraction, we write the given number as the numerator and place 1 in the denominator right below the decimal point followed by the number of zeros required accordingly. Then, this fraction can be simplified.
Did you know? 50% is the same as 1/2 and 25% is the same as 1/4. To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary. For example, to convert 17% to a fraction, put 17 over 100, like this: 17/100.
So, to find what is 0.02 as a percent, first, move the decimal point two places to the right. Then, add the percent sign. The percent form of 0.02 is written as 2%.
To start, set the decimal equal to a variable.Multiply the decimal by 10 and subtract the original decimal from it.Finally, divide both sides by 9 to obtain the fractional form of the decimal. For example, 0.7 repeating would be 7/9, and 1.2 repeating would be 11/9.
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