Q: How do you convert 0.2 a repeating decimal into a fraction?

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2%= .02 or 2/100

2% = 0.02 in decimal = 2/100 or 1/50 in fraction

.02

0.2 is 1/5 as a fraction in its simplest form

Put decimal over 1 0.02/1 move decimal places, top and bottom to the right to make whole number on top 2/100 reduces to 1/50 --------

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Here are some good links to use if you need help again with this: http://www.csgnetwork.com/decimal2fractwecalc.html = decimal to fraction calculator http://www.webmath.com/dec2fract.html = decimal to fraction calculator (w/ breakdown) .02 = 1/50 but if you need it broken down on exactly how to do it: Here's how to convert .02 to a fraction... There is not much that can be done to figure out how to write .02 as a fraction, except to literally use what the decimal portion of your number, the .02, means. Since there are 2 digits in 02, the very last digit is the "100th" decimal place. So we can just say that .02 is the same as 02/100. The fraction 2/100 is not reduced to lowest terms. We can reduce this fraction to lowest terms by dividing both the numerator and denominator by 2. Why divide by 2? 2 is the Greatest Common Divisor (GCD) or Greatest Common Factor (GCF) of the numbers 2 and 100. So, this fraction reduced to lowest terms is 1/50. So your final answer is: .02 can be written as the fraction 1/50.

0.020202... = 2/99

2%= .02 or 2/100

To convert a decimal to a faction in its simplest form depends on the decimal: 1) If it is a terminating decimal, place the decimal over a 1 followed by the same number of 0s as digits in the decimal and then divide top and bottom by common factors until their only common factor is 1 - these divisions can be done in one step by dividing by their highest common factor. Every digit after the decimal point counts, including zeros between the decimal point and the first non-zero number. eg 0.75 has 2 digits after decimal point → 0.75 = 75/100 = 15/20 (divide by common factor 5) = 3/4 (divide by common factor 5); it can be done in one step by dividing by 25: 75/100 = 3/4 - divide by hcf(75, 100) = 25. eg 0.02 also has 2 digits after the decimal point → 0.02 = 02/100 = 2/100 = 1/50. 2) If it is a repeating decimal, place the repeating digits over the same number of 9s as the number of repeating digits and simplify as above. eg 0.242424... has 2 repeating digits (24) → 0.242424... = 24/99 = 8/33 eg 0.027027027... has 3 repeating digits (027) → 0.027027027... = 027/999 = 27/999 = 1/37 3) If it has a number of non-repeating digits before repeating digits, then a combination of 1 and 2 is used: put the non-repeating digits over a 1 followed by the same number of 0s as the number of digit, add the fraction formed by the repeating digits over the same number of 9s as the repeating digits followed by the same number of 0s as in the first fraction, and simplify the result. eg 0.08333... has 2 digits (0.08) followed by 1 repeating digit (3) → 0.08333... = 08/100 + 3/900 = 72/900 + 3/900 = 75/900 = 1/12 4) Any non-terminating, non-repeating decimal is irrational and cannot be converted into a fraction. eg √2 (= 1.41421...) cannot be represented as a fraction; eg π (= 3.14159...; pi - the ratio of a circle's circumference to its diameter) cannot be represented as a fraction.

As a percent, .02 is 2 percent. To convert from decimal to percent, you move the decimal point two places to the right. When converting from percent to decimal, you move the decimal point two places to the left.

2% = 0.02 in decimal = 2/100 or 1/50 in fraction

The percentage of 2 over 100 is 2% because you convert 2/100 into a decimal which makes it .02. After you move the decimal two places to the right and put a percent sign like so: .02 = 02.= 02%

100 Solution Method: 1. Convert 2% to decimal: 2 / 100 = .02 2 Compute answer: .02 * 5000 = 100

To change decimals to fractions put decimal over 1 .02/1 move decimal places to right to get whole numbers; top and bottom 2/100 = 1/50

0.02 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its rational equivalent is 2/100 which can be simplified, if required. Since the absolute value of the number is less than 1 it cannot be expressed as a mixed number.

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