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Find Three Different Irrational Numbers Between 5/7 and 9/11.
By BYJU'S Exam Prep
Updated on: September 25th, 2023
To find: Three different irrational numbers between 5/7 and 9/11.
First we will make the denominators of 5/7 and 9/11 equal by multiplying the numerator and denominator of 5/7 with 11 and 9/11/ with 7.
(5 x 11) / (7 x 11) = 55/77
and (9 x 7) / (11 x 7) = 63/77
So, the new fractions will be 55/77 and 63/77. Now, the denominators are the same hence it is easy to find three different irrational numbers between 5/7 and 9/11.
The three irrational numbers between 55/77 and 63/77 are 56/77, 57/77, and 58/77.
56/77 = 0.72727272727
57/77 = 0.74025974026
58/77 = 0.75324675324
Therefore, three different irrational numbers between 5/7 and 9/11 are 0.72727272727, 0.74025974026, and 0.75324675324.
Table of content
Three Different Irrational Numbers Between 5/7 and 9/11
As discussed above, 0.72727272727, 0.74025974026, and 0.75324675324 are the three different irrational numbers between 5/7 and 9/11. To find the answer to this question, candidates should understand what an irrational number is.
The real numbers that are not rational are known as irrational numbers in mathematics. The ratio of two integers cannot be used to express an irrational number. The decimal expansions of irrational numbers neither terminate nor become periodic.
- Irrational numbers, like all real numbers, can be expressed in positional notation, most notably as a decimal number.
- The decimal expansion of irrational numbers does not end, nor does it end with a repeating sequence.
- Non-terminating continued fractions are one more way to represent irrational numbers.
Summary:
Find three different irrational numbers between 5/7 and 9/11.
The three different irrational numbers between 5/7 and 9/11 are 0.72727272727, 0.74025974026, and 0.75324675324. A collection of real numbers known as irrational numbers are those that cannot be represented by integer-based fractions or ratios. Ex: π, √2, e, √5. A number with non-terminating and non-recurring decimal representation is an example of an irrational number.
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