Set up an equation where x represents the entire repeating pattern: x = 0.12666….Identify the non-repeating part and the repeating block of digits.Simplify the fraction if possible: x = 14/111Ĭondition 3: Repeating pattern with non-repeating digits (e.g., 0.12666…).Solve for x by dividing both sides of the equation by 999: x = 126/999.Simplifying the right side gives: 999x = 126.In this case, we multiply by 1000 because there are three repeating digits after the decimal point: 1000x = 126.126126… Multiply both sides of the equation by a power of 10 that matches the number of decimal places in the repeating block.Set up an equation where x represents the repeating block: x = 0.126126126….Identify the repeating block of digits and assign it to a variable (e.g., x).Simplify the fraction if possible: x = 1/3Ĭondition 2: Repeating block of digits (e.g., 0.126126126…).Solve for x by dividing both sides of the equation by 9: x = 3/9.Simplifying the right side gives: 9x = 3.Subtract the original equation from the multiplied equation: 10x - x = 3.333… - 0.333….In this case, we multiply by 10 because there is one repeating digit after the decimal point: 10x = 3.333… Multiply both sides of the equation by a power of 10 that matches the number of decimal places in the repeating part. Set up an equation where x represents the repeating part: x = 0.333….Identify the repeating digit(s) and assign it to a variable (e.g., x).How to convert a repeating decimal to a fraction?Ĭondition 1: Single repeating digit (e.g., 0.333…) There are three sets of converting decimals worksheets.Įxamples, solutions, videos, and worksheets to help Grade 6 students learn how to repeating decimals to fractions.
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