Question

find three rational numbers between 7/10 and 8/10​

Answer 1

Answer:

Three rational numbers between   $\frac{7}{10} ,$$\frac{8}{10}$ = $\frac{18}{25},\frac{37}{50} ,\frac{19}{25}$

Step-by-step explanation:

Given rational numbers are $\frac{7}{10} ,$$\frac{8}{10}$

To find,

Three rational numbers between  $\frac{7}{10} ,$$\frac{8}{10}$

Solution:

The rational number between any two rational numbers is the same as the rational numbers between their equivalent rational numbers

We can get an equivalent rational number of a rational number by multiplying the numerator and denominator by the same number.

Multiply the numerator and denominator by 5 in both fractions we get

$\frac{7}{10} = \frac{7X5}{10X5} = \frac{35}{50}$

$\frac{8}{10} = \frac{8X5}{10X5} = \frac{40}{50}$

Hence equivalent fractions of  $\frac{7}{10} ,$$\frac{8}{10}$ are $\frac{35}{50} ,\frac{40}{50}$

Three rational numbers between   $\frac{7}{10} ,$$\frac{8}{10}$ = Three rational numbers between   $\frac{35}{50} ,\frac{40}{50}$ = $\frac{36}{50}, \frac{37}{50},\frac{38}{50}$

= $\frac{18}{25},\frac{37}{50} ,\frac{19}{25}$

∴ Three rational numbers between   $\frac{7}{10} ,$$\frac{8}{10}$ = $\frac{18}{25},\frac{37}{50} ,\frac{19}{25}$

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Answer 2

Answer:

$\frac{29}{40}, \frac{30}{40} and \frac{31}{40}$ are the rational number between $\frac{7}{10} and \frac{8}{10}$

Step-by-step explanation:

Explanation:

Given that, $\frac{7}{10}$ and $\frac{8}{10}$

So, we need to write or find out three rational numbers between $\frac{7}{10}$ and $\frac{8}{10}$

• As we know that,  if p and q are integers and q is not equal to 0, then the number is in the form of $\frac{p}{q}$ and is said to be rational.

• Among the rational number examples are $\frac{1}{3} ,\frac{2}{5}, \frac{2}{9}$ and so forth.

Step 1:

Given that,  $\frac{7}{10}$ and $\frac{8}{10}$

On multiplying both denominator and numerator by 4

⇒ $\frac{7}{10}$ × $\frac{4}{4}$ = $\frac{28}{40}$  and $\frac{8}{10}$ × $\frac{4}{4}$ = $\frac{32}{40}$

So, the rational number between $\frac{28}{40} and \frac{32}{40}$ are $\frac{29}{40}, \frac{30}{40} and \frac{31}{40}$

Final answer:

Hence, $\frac{29}{40}, \frac{30}{40} and \frac{31}{40}$ are the rational number between $\frac{7}{10} and \frac{8}{10}$

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