Question

find4 rational numbers between 7/8 and 9/10​

Answer 1

Answer:

=7/8 ×9=63/8

=9/10×9=81/10

=63/8,65/8,72/10,79/10,63/8

Answer 2

Answer:

$\frac{176}{200}$, $\frac{177}{200}$, $\frac{178}{200}$ and $\frac{179}{200}$ are the four rational numbers between 7/8 and 9/10.

Step-by-step explanation:

Rational number: The number that can be written in the $p/q$ form, $q\neq 0$, where p and q are integers.

According to the question,

We need to find the four rational numbers between 7/8 and 9/10.

Step 1 of 2

Firstly, make the denominator of both numbers 7/8 and 9/10 equal as follows:

LCM of 8 and 10 is 40.

Hence

$\frac{7}{8}=\frac{35}{40}$ and $\frac{9}{10}=\frac{36}{40}$

Step 2 of 2

Multiply and divide the number $\frac{35}{40}$ by the number 5.

⇒ $\frac{35\times5}{40\times5}$

⇒ $\frac{175}{200}$

Now, multiply and divide the number $\frac{36}{40}$ by the number 5.

⇒ $\frac{36\times5}{40\times5}$

⇒ $\frac{180}{200}$

Clearly, the numbers lying between $\frac{175}{200}$ and $\frac{180}{200}$ are the four rational numbers between 7/8 and 9/10.

Therefore, $\frac{176}{200}$, $\frac{177}{200}$, $\frac{178}{200}$ and $\frac{179}{200}$ are the four rational numbers between 7/8 and 9/10.

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