Question

Q-2) find any four rational number between 1/5 and 1/8 .​

Answer 1

Step-by-step explanation:

1/8= (1×5)/(8×5)=5/40=10/80

1/5=(1×8)/(5×8)=8/40=16/80

therefore,

required five rational numbers between 1/8 &1/5

are (1/8=10/80)

{11/80, 12/80, 13/80, 14/80, 15/80}

(16/80=1/5)

Answer 2

The rational number between  $\frac{10}{80}$ and $\frac{16}{80}$ are $\frac{11}{80},\,\frac{12}{80},\,\frac{13}{80},\,\frac{14}{80},\,\frac{15}{80}$.

Given:

Rational numbers 1/5 and 1/8.

To Find:

The rational numbers between 1/5 and 1/8.

Solution:

To find the rational numbers between 1/5 and 1/8, the denominator of both the fractions will be multiplied by numbers that will result in numbers between the two.

Multiply the numerator and denominator of $\frac{1}{5}$ by 16.

$\frac{1\times 16}{5\times 16}=\frac{16}{80}$

Multiply the numerator and denominator of $\frac{1}{8}$ by 10.

$\frac{1\times 10}{8\times 10}=\frac{10}{80}$

The rational number between $\frac{10}{80}$ and $\frac{16}{80}$ are $\frac{11}{80},\,\frac{12}{80},\,\frac{13}{80},\,\frac{14}{80},\,\frac{15}{80}$.

Thus, the rational number between  $\frac{10}{80}$ and $\frac{16}{80}$ are $\frac{11}{80},\,\frac{12}{80},\,\frac{13}{80},\,\frac{14}{80},\,\frac{15}{80}$.