Write these fractions in order of size, smallest first. Show your working
$\frac{3}{4}, \frac{5}{8}, \frac{17}{24}, \frac{12}{17}$

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Solution

LCM of $4, 8, 24, 17 = 408$
$\frac{3}{4}, \frac{5}{8}, \frac{17}{24}, \frac{12}{17} ⟹ \frac{312}{408}, \frac{255}{408}, \frac{289}{408}, \frac{288}{408}$
Increasing order is $\frac{5}{8}, \frac{12}{17}, \frac{17}{24}, \frac{3}{4}$

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