Mathematics
Convert the following decimals to fractions in their simplest form:a) 0.99 b) 0.9 c) 0.09
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Final answer: To convert decimals to fractions, use the place value of the decimal and write it as a fraction with the denominator being a power of 10 equal to the number of decimal places. Explanation: To convert a decimal to a fraction, we can use the place value of the decimal. The denominator of the fraction will be a power of 10 equal to the number of decimal places. For example: To convert 0.99 to a fraction, we write it as 99/100. Both the numerator and denominator are divisible by 9, so we simplify it to 11/10. To convert 0.9 to a fraction, we write it as 9/10. To convert 0.09 to a fraction, we write it as 9/100. The fractions 11/10, 9/10, and 9/100 are in their simplest form.
Final answer: To convert decimals to fractions, write the decimal as a fraction and simplify. Explanation: To convert a decimal to a fraction, we can first write the decimal as a fraction with the decimal part as the numerator and a power of 10 as the denominator. Then, we simplify the fraction to its simplest form. a) 0.99 = 99/100 b) 0.9 = 9/10 c) 0.09 = 9/100