Question

(Page 55)
Question
Compare the numbers –3/4 & –2/3 and –1/3 & –1/5 .

Answer 1

$-\dfrac{3}{4}$ $<$  $-\dfrac{2}{3}$

$-\dfrac{1}{3}$ < $-\dfrac{1}{5}$

Step-by-step explanation:

We have,

$-\dfrac{3}{4}$ and  $-\dfrac{2}{3}$

Taking LCM of 3, 4 = 12

$-\dfrac{3\times 3}{4\times 3}$  and $-\dfrac{2\times 4}{3\times 4}$

⇒ $-\dfrac{9}{12}$ and $-\dfrac{8}{12}$

⇒ $-\dfrac{9}{12}$ < $-\dfrac{8}{12}$ (Because - 8 > - 9)

∴ $-\dfrac{3}{4}$ <  $-\dfrac{2}{3}$

We have,

$-\dfrac{1}{3}$ and $-\dfrac{1}{5}$

Taking LCM of 3, 5 = 15

$-\dfrac{1\times 5}{3\times 5}$ and $-\dfrac{1\times 3}{5\times 3}$

⇒ $-\dfrac{5}{15}$ and $-\dfrac{3}{5}$

⇒ $-\dfrac{5}{15}$ < $-\dfrac{3}{5}$ (Because - 5 is less than - 3)

∴ $-\dfrac{1}{3}$ < $-\dfrac{1}{5}$