Question

which is the correct ascending order of the rational numbers-5/8,-3/5,-2/3?

Answer 1

-2/3 -3/5 -5/8 is in ascending order

Answer 2

Answer:

$\frac{-2}{3}<\frac{-5}{8}<\frac{-3}{5}$

Step-by-step explanation:

Given :-5/8,-3/5,-2/3

To Find :which is the correct ascending order of the rational numbers

Solution :

LCM of denominators is 120

Make the denominators of all fractions equal

$\frac{-5 \times 15}{8 \times 15}=\frac{-75}{120}$

$\frac{-3 \times 24}{5 \times 24}=\frac{-72}{120}$

$\frac{-2 \times 40}{3 \times 40}=\frac{-80}{120}$

So, $\frac{-80}{120}<\frac{-75}{120}<\frac{-72}{120}$

$\frac{-2}{3}<\frac{-5}{8}<\frac{-3}{5}$