Question

find ten rational Number between -4/7 and -3/6​

Answer 1

Answer:

-64/126, -65/126 -66/126 -67/126, -68/126 -69/126 -70/126 -71/126

Step-by-step explanation:

-4/7x6/6 and -3/6x7/7

-24/42 and -21/42

-24/42x3/3 and -21/42x3/3

-72/126 and -63/126

Answer 2

Given:

$\bold{ \to \dfrac{ - 4}{7} \: and \: \dfrac{ - 3}{6} }$

Find:

$\bold{ \to 10 \: rational \: no. \: between \: \dfrac{ - 4}{7} \: and \: \dfrac{ - 3}{6} }$

Solution:

F1stly 10 + 1 = 11

So, we, have

$\bold{ \leadsto \dfrac{ - 4}{7}}$

Now,

$\bold{ \to \dfrac{ - 4}{7} \times \dfrac{11}{11} }$

$\bold{ \to \dfrac{ - 44}{77} }$

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Now,

$\bold{ \leadsto \dfrac{ - 3}{6}}$

So,

$\bold{ \to \dfrac{ - 3}{6} \times \dfrac{11}{11} }$

$\bold{ \to \dfrac{ - 33}{66}}$

Now, write all rational numbers between -44/77 and -33/77

$\bold{ \dfrac{ - 44}{77} , \dfrac{ -43}{77}, \dfrac{ - 42}{77} , \dfrac{ - 41}{77} , \dfrac{ - 40}{77} } \\ \bold{\dfrac{ -39}{77} , \dfrac{ -38}{77}, \dfrac{ -37}{77} , \dfrac{ -36}{77} , \dfrac{ -35}{77} } \\ \bold{ \dfrac{ - 34}{77} , \dfrac{ -33}{77} }$

$\bold{ \cancel{ \dfrac{ - 44}{77}} , \dfrac{ -43}{77}, \cancel{ \dfrac{ - 42}{77}} , \dfrac{ - 41}{77} , \dfrac{ - 40}{77} } \\ \bold{\dfrac{ -39}{77} , \dfrac{ -38}{77}, \dfrac{ -37}{77} , \dfrac{ -36}{77} , \cancel{ \dfrac{ -35}{77}} } \\ \bold{ \dfrac{ - 34}{77} , \cancel{\dfrac{ -33}{77} }}$

$\bold{ \dfrac{ - 4}{7} , \dfrac{ -43}{77}, \dfrac{ - 6}{11} , \dfrac{ - 41}{77} , \dfrac{ - 40}{77} } \\ \bold{\dfrac{ -39}{77} , \dfrac{ -38}{77}, \dfrac{ -37}{77} , \dfrac{ -36}{77} , \dfrac{ -5}{11}} \\ \bold{ \dfrac{ - 34}{77} , \dfrac{ -3}{7}}$

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Hence, the Rational no. between -4/7 and -3/6 are

$\blue{\boxed{\bold{ \dfrac{ - 4}{7} , \dfrac{ -43}{77}, \dfrac{ - 6}{11} , \dfrac{ - 41}{77} , \dfrac{ - 40}{77}}}} \\ \green{\boxed{ \bold{\dfrac{ -39}{77} , \dfrac{ -38}{77}, \dfrac{ -37}{77} , \dfrac{ -36}{77} , \dfrac{ -5}{11}}}} \\ \pink{\boxed{\bold{ \dfrac{ - 34}{77} , \dfrac{ -3}{7}}}}$