Number 7
4 marks · NormalThis table shows some recurring decimals. Complete the table by writing each as a fraction in its simplest form.
| Decimal | Fraction (simplest form) |
|---|---|
| 0.\overline{81} | |
| 0.\overline{6} | |
| 0.0\overline{2} | |
| 0.0\overline{46} |
Work this out on paper, then compare with the answer and worked solution below. With a free account you can submit written answers for marking.
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Must show: 81/99 = 9/11, 6/9 = 2/3, 2/90 = 1/45, 46/990 = 23/495
Also accept: 81/99 \rightarrow 9/11, 6/9 \rightarrow 2/3, 2/90 \rightarrow 1/45, 46/990 \rightarrow 23/495
Common mistakes: 81/99 not simplified; 6/9 not simplified; 2/99; 46/99
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Marking points
A1 · 1 mark · Correct answer for 0.\overline{81} as
A1 · 1 mark · Correct answer for 0.\overline{6} as
A1 · 1 mark · Correct answer for 0.0\overline{2} as
A1 · 1 mark · Correct answer for 0.0\overline{46} as
Worked solution
| Decimal | Fraction (simplest form) |
|---|---|
| 0.\overline{81} | |
| 0.\overline{6} | |
| 0.0\overline{2} | |
| 0.0\overline{46} |