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Maths / Rational Numbers / Rational Numbers between Two Rational Numbers
QUESTION
 

Find four rational numbers between large frac{2}{3};and; frac{4}{5}.

EXPLANATION
Explain TypeExplanation Content
Text

first we convert given rational numbers to rational numbers with the same denominator equal to the LCM of their denominators. The LCM of denominators 3 and 5 is 15.

:.large frac{2}{3}=frac{2X5}{3X5}=frac{10}{15}and frac{4}{5}=frac{4X3}{5X3}=frac{12}{15}

We write large frac{2}{3}=frac{10}{15}=frac{40}{60}and frac{4}{5}=frac{12}{15}=frac{48}{60}

Between 40 and 48 there are seven integers 41,42,43,--,47.Therefore,large frac{41}{60},frac{42}{60},----,frac{47}{60} are seven rational numbers between large frac{40}{60}(=frac{2}{3})and frac{48}{60}(=frac{4}{5})

we can take any four of these rational numbers.

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