Question

find four rational numbers between 7/9 and 8/9​

Answer 1

➤ Answer

• Four rational numbers between 7/9 and 8/9 are as follows

$\tt{\cfrac{36}{45} \: ,\cfrac{37}{45}, \: \cfrac{38}{45} \: and \: \cfrac{39}{40}}$

➤ To Find

• Four rational numbers between 7/9 and 8/9.

➤ Step By Step Explanation

Here, we need to find four rational numbers between 7/9 and 8/9. We can easily find these numbers using ( n + 1 ) rule, where n is the number of rational numbers we need to find between two given rational numbers.

So let's do it !!

$\tt ( n + 1 )\implies 4 + 1 \implies 5$

Now, we will multiply both numerator and denominator of both the numbers by 5.

$\longmapsto \tt\cfrac{7 \times 5}{9 \times 5} \implies \cfrac{35}{45} \\ \\ \longmapsto \tt \cfrac{8 \times 5}{9 \times 5} \implies \cfrac{40}{45}$

Therefore four rational numbers are ⤵

➠ $\tt{\cfrac{36}{45} \: ,\cfrac{37}{45}, \:\cfrac{38}{45} \: and \: \cfrac{39}{40} }$

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➤ Extra Information

• Rational numbers - Any number that can be written in the form of p/q where q ≠ 0 is known as rational numbers. There decimal expansion is generally terminating or non terminating recurring.

• Irrational numbers - Any number that cannot be written in the form of p/q are known as irrational number. There decimal expansion is generally non terminating non recurring.

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