Question

find 4 rational numbers between 3 by 7 and 5 by 7

Answer 1

Answer:

$\text{The rational numbers between }\frac{12}{28}\text{ and }\frac{20}{28}\text{ are }\frac{13}{28}, \frac{14}{28}, \frac{15}{28}, \frac{16}{28}$

Step-by-step explanation:

Given two rational numbers

We have to find 4 rational numbers between

$\frac{3}{7}\text{ and }\frac{5}{7}$

$\frac{3}{7}=\frac{3}{7}\times \frac{4}{4}=\frac{12}{28}$

$\frac{5}{7}=\frac{5}{7}\times \frac{4}{4}=\frac{20}{28}$

$\text{The rational numbers between }\frac{12}{28}\text{ and }\frac{20}{28}\text{ are }\frac{13}{28}, \frac{14}{28}, \frac{15}{28}, \frac{16}{28}$

Answer 2

Answer:

The four rational numbers between $\dfrac{3}{7}$ and $\dfrac{5}{7}$ are $\dfrac{31}{70},\dfrac{32}{70},\dfrac{33}{70},\dfrac{34}{70}$    

Step-by-step explanation:

To find : 4 rational numbers between 3 by 7 and 5 by 7 ?

Solution :

The number given are $\dfrac{3}{7}$ and $\dfrac{5}{7}$

To get the 4 rational numbers we multiply and divide both fraction by 10,

$\dfrac{3}{7}\times \dfrac{10}{10}=\dfrac{30}{70}$

$\dfrac{5}{7}\times \dfrac{10}{10}=\dfrac{50}{70}$

Four numbers between 30 and 50 are 31,32,33,34.

So, The rational numbers between $\dfrac{30}{70}$ and $\dfrac{50}{70}$ are

$\dfrac{31}{70},\dfrac{32}{70},\dfrac{33}{70},\dfrac{34}{70}$

Therefore, The four rational numbers between $\dfrac{3}{7}$ and $\dfrac{5}{7}$ are $\dfrac{31}{70},\dfrac{32}{70},\dfrac{33}{70},\dfrac{34}{70}$