Question

15. Arrange in Ascending order:
:
-3/5 -7/10 -11/15 -19/30​

Answer 1

Answer:

$\frac{-11}{15} <\frac{-7}{10} <\frac{-19}{30} <\frac{-3}5}$

Step-by-step explanation:

Since the denominator of the following fractions is not the same we cannot compare them with each other.

In order to equate the denominators, we find their $LCM$

⇒$LCM (5,10,15,30)$

⇒$LCM = 30$

Now we have to convert the denominators to the same value as the LCM by multiplying the numerator and the denominator with the required value.

⇒$\frac{-3}{5}$ x $\frac{6}{6}$

⇒$\frac{-18}{30}$,

⇒$\frac{-7}{10} * \frac{3}{3}$

⇒$\frac{-21}{30}$,

⇒$\frac{-11}{15} * \frac{2}{2}$

⇒$\frac{-22}{30}$,

$\frac{-19}{30}$ will stay the same

Comparing all the values we come up with the Ascending order.

⇒$\frac{-22}{30} < \frac{-21}{30} <\frac{-19}{30} <\frac{-18}{30}$

⇒$\frac{-11}{15} <\frac{-7}{10} <\frac{-19}{30} <\frac{-3}5}$