| Rule: write the decimal as a mixed number. Whole part + fraction from the decimal part. | ||
| Rule: simplify the fraction by dividing numerator and denominator by their HCF. |
| Decimal | = | 2.75 |
| The whole number part is 2. The decimal part 0.75 = 75/100. So 2.75 = 2 75/100. | ||
| Find the HCF of 75 and 100. 75 = 25 x 3, 100 = 25 x 4. HCF = 25. | ||
| Simplify fraction | = | 75/100 = (75 / 25)/(100 / 25) = 3/4 |
| Mixed number | = | 2 3/4 |
| 2 3/4 matches option (1). | ||