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An illustrative example using 0.815 demonstrates these mathematical operations, showing the transition from 0.815/1 to 815/1000 and finally to the simplified 163/200. This resource is designed to assist students in mastering fundamental arithmetic conversions, emphasizing logical progression and proper fraction reduction techniques for academic success in 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fraction, follow these steps:  \n• Step 1) Put the decimal over a denominator of1 to make it into a fraction.  \n• Step 2) Multiply the numerator and denominator by 10n, where n is the number of decimal places the decimal has.  \n• Step 3) (Optional) Simply the fraction you have made by dividing the numerator and denominator by the highest common factor.  \nExample: Convert 0.815 into a fraction in simplest form  \n1) Put the decimal over a denominator of 1.  \n0.815 = ~~ ~~0.8115~~ ~~  \n2) Multiply the numerator and denominator by 103, since the decimal 0.815 has  \n3 decimal places. 103 = 10 x 10 x 10 = 1000  \nus: ~~ ~~0.8115~~ ~~ = ~~ ~~0.8115~~ ~~ x ~~ ~~10001000~~ ~~ = ~~ ~~0.8115xx10100000~~ ~~ =  815   \nThis gives  \n1000  \n3) To find the simplest form divide the numerator and denominator by the highest common factor which is 5.  \n 815   815 ÷ 5   163 = =  \n1000 1000 ÷ 5 200  \n 163   \nFinal answer 0.815 =  \n200","cbCaigJdssXDMnqW","https://ap.wps.com/l/cbCaigJdssXDMnqW","pdf",260694,"English","# Steps to Convert Decimal to Fraction\n## Example Demonstration","[{\"question\":\"What is the first step when converting a decimal to a fraction?\",\"answer\":\"The first step is to place the decimal number over a denominator of 1 to express it as a fraction.\"},{\"question\":\"How do you determine what to multiply the numerator and denominator by?\",\"answer\":\"You multiply by 10n, where n represents the number of decimal places in the original decimal number.\"},{\"question\":\"Why should you simplify the final fraction?\",\"answer\":\"Simplifying the fraction by dividing both the numerator and the denominator by their highest common factor makes the answer easier to read and mathematically standard.\"}]","Convert Decimal to Fraction Support Page | PDF",1792673018]