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### Grade 7 - Mathematics6.9 Writing Mixed Recurring Decimal into Rational Number Form - I

 Example: Convert 0.537 into a rational number form. Solution: Let x = 0.537 .......I There are one digit in the non-recurring part and two digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 101+2 = 103 = 1000. We get, 1000x = 537.37.....II There are one digit in the non-recurring part of the decimal. Hence multiplying both sides of equation I by 10 we get, 10x = 5.3737.....III Subtracting III from II, we get 990x = 532 x = 532/990 x = 266/495 Directions: Convert the given mixed recurring decimal into rational number form. Show your work. Also write at least five examples of your own.
 Q 1: Convert 0.156 into rational number form.450/99031/198250/330 Q 2: Convert 0.513 into rational number form.508/990450/330250/330 Q 3: Convert 0.956 into rational number form.450/330947/990250/198 Q 4: Convert 0.315 into rational number form.104/33075/198450/990 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!

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