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### Grade 7 - Mathematics6.11 Writing Mixed Recurring Decimal into Rational Number Form - III

 Example: Convert 9.33586 into a rational number form. Solution:Let x = 9.33586.......I There are two digit in the non-recurring part and three digits in the recurring part of the decimal. Hence multiplying both sides of equation I by 102+3 = 105 = 100000. We get, 100000x = 933586.586.....II There are two digit in the non-recurring part of the decimal. Hence multiplying both sides of equation I by 100 we get, 100x = 933.586.....III Subtract II from III, we get 99900x = 932653 x = 932653/99900 Directions: Using the above method, convert the given mixed recurring decimal into rational number form. Also write at least five examples of your own.
 Q 1: Convert 9.41423 into rational number form.4500/999052249/55502500/3300 Q 2: Convert 8.12462 into rational number form.156324/999905411/666154692/9990 Q 3: Convert 6.91231 into rational number form.2450/33004508/333023018/3330 Q 4: Convert 16.71341 into rational number form.16967/9900166967/9990196996/9990 Question 5: This question is available to subscribers only! Question 6: This question is available to subscribers only!