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Watch help video Convert 19.6% to a fraction in simplest form and a decim

User Danesha
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Final answer:

To convert 19.6% to a fraction in simplest form, write it as 19.6/100, simplify it to 196/1000, and then reduce to 49/250. To convert it to a decimal, you divide by 100, which gives you 0.196.

Step-by-step explanation:

The question is about converting a percentage to a fraction and a decimal. To convert 19.6% to a fraction, you first write it as 19.6/100. Then, to simplify the fraction, you can multiply both the numerator (top number) and the denominator (bottom number) by 10 to eliminate the decimal point, getting 196/1000. This fraction can be simplified further by dividing both the numerator and the denominator by the greatest common divisor (GCD), which is 4. Thus, you get 49/250 as the fraction in simplest form.

To convert 19.6% to a decimal, you simply divide by 100, moving the decimal point two places to the left, which gives you 0.196.

Therefore, 19.6% as a fraction in simplest form is 49/250 and as a decimal is 0.196.

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