Question

When the repeating decimal 0.575757... is written in simplest fraction form p/q find p-q?

Answer 1

Answer:

Answer = 48

Step-by-step explanation:

• first we will find the p/q form of 0.575757....
• let the p/q form of 0.575757.... be x
• x = 0.575757....
• 10 × x = 10 × 0.575757....
• 10x = 57.575757....
• - x = - 0.575757....
• 9x = 57
• x = 57/9

• Now we will find p - q
• putting the values ; p = 57 , q = 9
• subtracting 57 - 9 = 48

~ Hence when the repeating decimal 0.575757.... is written in simplest fraction form p/q then p - q = 48

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