d give an improper fraction. B1 B1 for clear explanation of easy But any decimal with recurring digits n can be changed to a fraction by B1 B1 for clear explanation of more difficult multiplying by 10n and eliminating the infinite part. B1 B1 for clear explanation for any recurring decimal = 2.727 a 272….. 100a = 272.7272……. 100a = 270 – a M1 M1 for correct method of converting recurring decimal to fraction 99a = 270 = a = 27.272 a 72….. e 100a = A1 cao 2727.272……. 100a = 2700 a – 99a = 2700 A1 cao = which is × 10 a B1 B1 clear communication of full answer. 11
d e give an improper fraction. But any decimal with n recurring digits can be changed to a fraction by multiplying by 10n and eliminating the infinite part. a = 2.727 272….. 100a = 272.7272……. 100a – a = 270 99a = 270 a = a = 27.272 72….. 100a = 2727.272……. 100a – a = 2700 99a = 2700 a = which is × 10 B1 B1 B1 M1 A1 A1 B1 B1 for clear explanation of easy B1 for clear explanation of more difficult B1 for clear explanation for any recurring decimal M1 for correct method of converting recurring decimal to fraction cao cao B1 clear communication of full answer. 11