Question

Find 3 rational numbers between ¼ and ½

Answer 1

LCM= 4
1/4=1/4
1/2=2/4
again,
LCM=8
1/4=2/8
2/4=4/8
therefore,3 rational no.s are 3/8, 4/8, 5/8

Answer 2

Solution :-

Three rational numbers between ¼ and ½ are

• ¹∙¹/₂
• ¹∙²/₂
• ¹∙³/₂

Alternative Method :-

Firstly, convert in equal fraction i.e ⁻¼ and ½

Now, we conver in like Fractions i.e 1⁄4 and ²⁄4

So, we have to find 3 rational number between them.

So, we multiply the denominator & numerator by one more than the number to be found

Therefore, we have to find 3 numbers

So, we multiply the denominator & numberator by 4

⟹ ¹×⁴/₄×₄ and ²×⁴⁄₄×₄

⟹ 4⁄16 and 8⁄16

Therefore, the numbers are :-

• ⁵⁄16
• ⁶⁄16
• ⁷⁄16