Question

find five rational number between 4/9 and 3/5

Answer 1

Answer:

21/45, 22/45, 23/45, 24/45, 25/45 choose any five in between 21/45 - 27/45

Step-by-step explanation:

To do this first find the LCM of the denominators

=> LCM of 5 and 9 = 45

then multiply the respective number to the numerators

=> 4/9 x 5/5 = 20/45;

3/5 x 9/9 = 27/45

therefore find numbers between 20/45 - 27/45

Hope this was helpful

Answer 2

Given :

• 4/9 and 3/5

To find :

• five rational numbers between 4/9 and 3/5.

Solution :

⇒ Let's make the rational numbers with the different denominators to same.

• Here, we have to find the Least common multiple of the denominator.

$\begin{array}{c|c} \underline{\sf {5}}&\underline{\sf {\; \; 9,5 \; \; \: }} \\ \underline{\sf {3}}&\underline{\sf {\; \; 9,1 \; \; \: }}\\ \underline{\sf {3}}&\underline{\sf {\; \; 3,1 \; \; \: }} \\ & {\sf \; 1,1 \; \; }\end{array}$

→ LCM = 5 × 3 × 3

= 15 × 3

= 45

→ 4/9 = 4 × 5/9 × 5

= 20/45

→ 3/5 = 3 × 9/5 × 9

= 27/45

• Therefore, the new rational numbers are 20/45 and 27/45.

⇒ Let's find the rational number between 20/45 and 27/45.

→ 20/45 and 27/45 = 21/45, 22/45, 23/45, 24/45 and 25/45.

• Therefore, the five rational number between 4/9 and 3/5 are 21/45, 22/45, 23/45, 24/45, and 25/45.