###### tags: `OTM 01` `Fraction` # [] < $(\frac{1}{11} + \frac{1}{12} + \frac{1}{13} + \frac{1}{14} + \frac{1}{15})\times 6$ < [] <font size = 4> **Quetion**: Fill in the bracket on left and right with two consecutive integers (whole numbers). Hint: - can we change all five denominators to one denomitor thus make the calculation easier, as well as finding an upper bound or lower bound? - If an lower bound or upper bound is exactly within two consecutive integers, then we done! </font> --- <font size = 4> If you like the previous question and have learnt something from it, try this one to enhance your learning: $$6\frac{2}{a} \times b\frac{1}{2} = 22$$, where a and b are two positive integers. Quesiton: What are a and b? Hint: - $b\frac{1}{2}$ should be a value expressed by $22 \div 6\frac{2}{a}$, then it must "squeezed" by two consecutive integers. - $6\frac{2}{a}$ is "squeezed" by two consequtive integers as well! </font> ---