Number 7
3 marks · EasyComplete the table by writing the fraction in its lowest terms for each recurring decimal.
| Decimal | Fraction (simplest form) |
|---|---|
| 0.\overline{7} | |
| 0.0\overline{3} | |
| 0.\overline{81} |
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.
Show answer
Must show: 0.\overline{7}: 7/9, 0.0\overline{3}: 1/30, 0.\overline{81}: 81/99 or 9/11
Also accept: 0.\overline{81}: 81/99; 0.\overline{81}: 9/11
Common mistakes: Leaving fractions unsimplified.
Show mark scheme and worked solution
Marking points
B1 · 1 mark · Writes 0.\overline{7} as 7/9.
B1 · 1 mark · Writes 0.0\overline{3} as 1/30.
B1 · 1 mark · Writes 0.\overline{81} as 9/11 or 81/99.
Worked solution
| Decimal | Fraction (simplest form) |
|---|---|
| 0.\overline{7} | 7/9 |
| 0.0\overline{3} | 1/30 |
| 0.\overline{81} | 9/11 |