Question

find 3 rational number betweeen $\frac{1}{8}$ and $\frac{5}{4}$ by lcm method

Answer 1

the LCM of the denominators 8 and 4 is 8

• we have to convert the fractions to make denominators 8
• 5/4 × 2/2 = 10/8
• therefore : the 3 rational numbers between 1/8 and 5/4 are the rational numbers between 1/8 and 10/8
• they are 2/8 , 3/8 , 4/8 , 5/8 , 6/8 , 7/8 .
• you can take any 3 rational number from the above numbers

Answer 2

Step-by-step explanation:

$\frac{1}{8} \: and \: \frac{5}{4}$

$\frac{1}{8} \: and \: \frac{5 \times 2}{4 \times 2}$

$\frac{1}{8} \: and \: \frac{10}{8}$

$now \: the \: denominators \: are \: common \: so \: \\ we \: have \: to \: get \: numbers$

$so \: the \: numbers \: are \: :$

$\frac{2}{8} , \: \frac{3}{8} , \: \frac{4}{8}$

$\frac{1}{4} , \frac{3}{8} \: and \: \frac{1}{2}$