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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
Tick $(\checkmark)$ the correct answer the following : A rational number between $\frac{-2}{3}$ and $\frac{1}{4}$ is:
  • A
    $\frac{5}{12}$
  • B
    $\frac{-5}{12}$
  • C
    $\frac{5}{24}$
  • ✓
    $\frac{-5}{24}$
✓

Answer

Correct option: D.
$\frac{-5}{24}$
A rational number between $=\frac{-2}{3}$
$\frac{1}{4}$ will be $=\frac{1}{2}\Big(\frac{-2}{3}+\frac{1}{4}\Big)$
$=\frac{1}{2}\Big(\frac{-8+3}{12}\Big)$
$=\frac{1}{2}\times\frac{-5}{12}$
$=\frac{-5}{24}$

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