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How do you convert repeating decimal into a mixed number? - Answers
Put the repeating digits over the same number of 9s as there are repeating digits; then simplify.examples0.333333....There is 1 repeating digit (3), so one 9 in the denominator: 0.3333.... = 3/9 = 1/30.14285714285714....There are 6 repeating digits (142857) so six 9s in the denominator: 0.14285714285714... = 142857/999999 = 1/75.6666....There is 1 repeating digit (6), so one 9 in the denominator: 5.6666... = 5 + 0.6666....= 5 + 6/9= 5 + 2/3= 52/3
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How do you convert repeating decimal into a mixed number? - Answers
Put the repeating digits over the same number of 9s as there are repeating digits; then simplify.examples0.333333....There is 1 repeating digit (3), so one 9 in the denominator: 0.3333.... = 3/9 = 1/30.14285714285714....There are 6 repeating digits (142857) so six 9s in the denominator: 0.14285714285714... = 142857/999999 = 1/75.6666....There is 1 repeating digit (6), so one 9 in the denominator: 5.6666... = 5 + 0.6666....= 5 + 6/9= 5 + 2/3= 52/3
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How do you convert repeating decimal into a mixed number? - Answers
Put the repeating digits over the same number of 9s as there are repeating digits; then simplify.examples0.333333....There is 1 repeating digit (3), so one 9 in the denominator: 0.3333.... = 3/9 = 1/30.14285714285714....There are 6 repeating digits (142857) so six 9s in the denominator: 0.14285714285714... = 142857/999999 = 1/75.6666....There is 1 repeating digit (6), so one 9 in the denominator: 5.6666... = 5 + 0.6666....= 5 + 6/9= 5 + 2/3= 52/3
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