Question

Find a rational number between 2/ 3 and 3/4 (first write the rational numbers with equal denominators

Answer 1

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GIVEN :-

2/3 and 3/4

TO FIND :-

Find the Rational Numbers Between 2/3 and 3/4

SOLUTION :-

• 1st Equal The Denominator.

⅔ × 8 and ¾ × 6

= 16/24 and 18/24

= 17/24 is the Rational Number Between ⅔ and ¾.

Answer 2

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Given numbers= $\frac{2}{3}\frac{3}{4}$

LCM = 12

$\frac{2×4}{3×4}=\frac{8}{12}=\frac{16}{24}$

$\frac{3×3}{4×3}=\frac{9}{12}=\frac{18}{24}$

therefore, $\frac{16}{24}<\frac{17}{24}<\frac{18}{24}$

therefore, $\frac{2}{3}<\frac{17}{24}<\frac{3}{4}$