Fractions and Recurring Decimals (Edexcel GCSE Maths): Quizzes

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Fractions and recurring decimals
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What determines if a fraction gives a terminating or recurring decimal?

Prime factors of denominator (simplest form)

Which prime factors in the denominator give a terminating decimal?

Only 2 and 5

Why do only factors 2 and 5 in the denominator give terminating decimals?

Because 10=2×510 = 2 \times 5 in our system

What type of decimal does 16\frac{1}{6} produce?

Recurring (6 has prime factor 3)

Can a recurring decimal pattern consist of multiple digits?

Yes, e.g. 0.142857142857...0.142857142857...

First step when converting 0.777...0.777... to a fraction?

Let r=0.777...r = 0.777...

Converting 0.2340.\overline{234} to a fraction: what do you multiply by?

1000 (three-digit repetition)

Why subtract the original equation when converting recurring decimals?

To eliminate the decimal part

Using the quick method, what is 0.70.\overline{7} as a fraction?

79\frac{7}{9}

When does the '9s on bottom' quick method work?

Only if recurring starts immediately

To convert 833\frac{8}{33} to recurring: find equivalent with which denominator?

All 9s (e.g. 99)

Which method is more reliable for complex fractions to recurring decimals?

Long division

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