Question

two rational numbers between 5/8 and 7/8

Answer 1

Step-by-step explanation:

Given:-

Two numbers are 5/8 and 7/8

To find:-

Find two rational numbers between 5/8 and 7/8

Solution:-

Given two numbers are 5/8 and 7/8

We know that

Mean Method:-

a and b are two numbers then the rational number between them is (a+b)/2

We have,

a = 5/8

b=7/8

Rational number = [(5/8)+(7/8)]/2

=> [(5+7)/8]/2

=> (12/8)/2

=> (3/2)/2

=> 3/(2×2)

=> 3/4

First rational number = 3/4

and

again continue this process for a = 5/8 and b=3/4

=> [(5/8)+(3/4)]/2

=> [(5+6)/8]/2

=> (11/8)/2

=> 11/(8×2)

=> 11/16

The second rational number = 11/16

Answer:-

The two rational numbers between 5/8 and 7/8 are 3/4 and 11/16

Used Method:-

Mean Method:-

• a and b are two numbers then the rational number between them is (a+b)/2

Answer 2

$\sf\mathbb\color{red} {given : }$

• 5/8
• 7/8

$\sf\mathbb\color{red} {to \: find \: }$

• Rational numbers between 5/8 & 7/8

$\sf\mathbb\color{red} {solution: }$

The two rational numbers between $\sf\mathbb\color{blue} { \frac{5}{8} }\sf\mathbb\color{black} { \: \: and \: }\sf\mathbb\color{blue} { \: \: \frac{7}{8} }$

ᴍᴜʟᴛɪᴘʟʏ ʙᴏᴛʜ ɴᴜᴍʙᴇʀ ʙʏ ᴀɴʏ ɴᴜᴍʙᴇʀ ᴍᴏʀᴇ ᴛʜᴇɴ 3

ʟᴇᴛ ᴛᴀᴋᴇ 10

$\sf\mathbb\color{blue} {⟹ \frac{5}{8} \times \frac{10}{10} = \frac{50}{80} }$

$\sf\mathbb\color{green} {⟹ \frac{7}{80} \times \frac{10}{10} = \frac{70}{80} }$

ᴘɪᴄᴋ ᴀɴʏ ɴᴜᴍʙᴇʀꜱ

$\sf\mathbb\color{blue} { \frac{51}{80} , \frac{52}{80} } \: \: \: \: \: \: \: \: \: \: answer \:$