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### Grade 8 - Mathematics1.25 Writing Pure Recurring Decimal into Rational Number Form - II

 Procedures: Remove the decimal point and write the recurring part as the numerator Write as many nines in the recurring part Write the fraction in its lowest terms. Example: Convert 0.56 into a rational number form. Solution: Let x = 0.56 This means x = 0.565656..........I There are two digits in the recurring decimal part. Hence multiply both sides by 100. 100x = 56.565656.....II Subtract I from II, we get 99x = 56 x = 56/99 Directions: Convert the given recurring decimal into rational form. Also write atleast 5 examples of your own.
 Q 1: Convert 0.96 into a rational number form.56/9933/3232/3386/99 Q 2: Convert 0.87 into a rational number form.29/3333/2946/3356/99 Q 3: Convert 0.54 into a rational number form.11/633/9946/336/11 Q 4: Convert 0.27 into a rational number form.12/6None of these11/33/11 Q 5: Convert 0.45 into a rational number form.11/55/1156/9946/99 Q 6: Convert 0.69 into a rational number form.23/3399/1933/2356/99 Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!

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