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Find five rational numbers between and at equal intervals?
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Q. Find five rational numbers between and at equal intervals?
- Convert Fractions to Common Denominator: Convert the fractions to have a common denominator to make it easier to find numbers between them.The least common multiple (LCM) of the denominators and is .Convert to a fraction with a denominator of : .Convert to a fraction with a denominator of : .
- Find Difference Between Fractions: Determine the difference between the two new fractions.The difference between and is .
- Calculate Interval Size: Divide the difference by the number of intervals plus one to find the interval size. We want numbers, so we need intervals. Interval size: .
- Find First Rational Number: Add the interval size to the smaller fraction to find the first rational number.First number: .
- Find Second Rational Number: Add the interval size to the first number to find the second rational number.Second number:
- Find Third Rational Number: Add the interval size to the second number to find the third rational number.Third number: .
- Find Fourth Rational Number: Add the interval size to the third number to find the fourth rational number.Fourth number: .
- Find Fifth Rational Number: Add the interval size to the fourth number to find the fifth rational number.Fifth number: .
- Simplify Fractions: Simplify the fractions if possible.First number: cannot be simplified further.Second number: can be simplified to .Third number: can be simplified to .Fourth number: can be simplified to .Fifth number: cannot be simplified further.
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