Question

arrange the following fractions in ascending order 3/8,4/12,-7/16,-2/3 (with explanation)​

Answer 1

°•●Required●•°

$\large \frac{3}{8}, \frac{4}{12} ,\frac{ - 7}{16}, \frac{ - 2}{3}$

First take the L.C.M. to make the denominators same.

L.C.M. of 8,12,16,3= 2×2×2×2×3= 48

$\rightarrow \frac{3}{8} \times \frac{6}{6} = \frac{18}{48} \\ \\ \rightarrow \frac{4}{12} \times \frac{4}{4} = \frac{16}{48} \\ \\ \rightarrow \frac{ -7 }{16} \times \frac{3}{3} = \frac{ - 21}{48} \\ \\ \rightarrow \frac{ - 2}{3} \times \frac{16}{16} = \frac{ - 32}{48}$

$\rightarrow \frac{ - 32}{48} < \frac{ - 21}{48} < \frac{16}{48} < \frac{18}{48}$

$\implies \frac{ - 2}{3} < \frac{ - 7}{16} < \frac{4}{12} < \frac{3}{8}$

Hope it helps you....