zainabjannat
Answered

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convert the recurring decimal 2.1363636 to a mixed number

Sagot :

marty1001

Answer:

2 + 57/550

Step-by-step explanation:

sqdancefan

9514 1404 393

Answer:

  2 3/22

Step-by-step explanation:

Multiply by 100.

  213.6363...

Subtract the original.

  213.6363... -2.1363... = 211.5

Divide this by 99.

  211.5/99 = 2115/990 = 2 135/990 = 2 3/22

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The original number you multiply by is 10^n, where n is the number of repeating digits. Then the number you divide by is (10^n -1). Here, those values are 100 and 99, because there are 2 repeating digits.

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