Question

Find the five rating number between 4/7 and 5/7

Answer 1

Question:

Write five rational numbers between 5/7 and 4/7 .

Answer:

25/42 , 13/21 , 9/14, 2/3 ,29/42 .

Step by step explanation :

$\huge{\frac{4}{7}}$ , $\huge{\frac{5}{7}}$

$\longrightarrow$Since,there is no difference between 4 and 5 so multiply by 6 to get 5 rational numbers in between them.

$\longrightarrow$⟶ After multiplying by 6 on both sides,we get :

$\huge{\frac{24}{42}}$ , $\huge{\frac{30}{42}}$

$\large\mathrm\red{Five \:rational\: numbers\: between\: them\: are }$

25/42 , 26/42, 27/42 , 28/42 ,29/42 .

On simplifying these rational numbers to their lowest form,the final answer is :

$\huge{\frac{25}{42}}$, $\huge{\frac{13}{21}}$ , $\huge{\frac{9}{14}}$, $\huge{\frac{2}{3}}$ , $\huge{\frac{29}{42}}$

.

Answer 2

$\huge{\mathtt{\blue{\dag ANSWER \dag}}}$

$\implies$ $\frac{4}{7}$ = $\frac{4 × 7}{7 × 7}$ = $\frac{28}{49}$

$\implies$ $\frac{5}{7}$ = $\frac{5 × 7}{7 × 7}$ = $\frac{35}{49}$

$\therefore$ 5 rational numbers between $\frac{4}{7}$ and $\frac{5}{7}$ are $\longrightarrow$

$\frac{29}{49}$ , $\frac{30}{49}$ , $\frac{31}{49}$ , $\frac{32}{49}$ , $\frac{33}{49}$ , $\frac{34}{49}$

$\boxed{HOPE \qquad U \qquad UNDERSTOOD}$