Respuesta :

Answer:

Solution:

Here,the denominators are 3 and 8

  • Multiples of 3=3,6,9,12,15,18,21,24.....
  • Multiples of 8=8,16,24,32,40......
  • Same smallest number=24

We have,3×8=24 and 8×3=24.

Now,

[tex] \displaystyle{ \frac{2}{3} = \frac{2 \times 8}{3 \times 8} = \frac{16}{24} }[/tex]

[tex] \displaystyle \frac{4}{8} = \frac{4 \times 3}{8 \times 3} = \frac{12}{24} [/tex]

Since,16>12,

So,

[tex] \displaystyle \: \frac{16}{24} > \frac{12}{24} [/tex]

i.e.

[tex] \displaystyle \frac{2}{3} > \frac{4}{8} [/tex]

Method of cross product:

[tex] \displaystyle \: \frac{2}{3} \: or \: \frac{4}{8} [/tex]

[tex] \displaystyle2 \times 8 = 16 \: \: \: \: \: > \: \: \: \: \: 3 \times 4 = 12[/tex]

[tex]16 > 12[/tex]

[tex] \displaystyle \therefore \: \frac{2}{3} > \frac{4}{8} [/tex]

[tex] \displaystyle{Thus,the \: fraction \: \frac{2}{3} \: is \: greater \: than \: the \: fraction \: \frac{4}{8} . }[/tex]

Step-by-step explanation:

[tex] \frak \green{BrainlyFairy}[/tex]

Solution:

Step-1: Make the denominators of both fractions the same.

  • 2/3 and 4/8
  • => 2 x 8/3 x 8 and 4 x 3/8 x 3
  • => 16/24 and 12/24

Step-2: Compare both the fractions.

  • 16/24 and 12/24 = 2/3 and 4/8
  • => 16/24 > 12/24

Since 16/24 is greater than 12/24, 2/3 is greater than 4/8.