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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers1 Mark
MCQ
The value of $\Big(\frac{5}{4}\Big)-\Big(\frac{8}{3}\Big)$ is:
  • A
    $\frac{12}{17}$
  • B
    $-\frac{12}{17}$
  • C
    $\frac{17}{12}$
  • ✓
    $-\frac{17}{12}$
✓

Answer

Correct option: D.
$-\frac{17}{12}$
$\frac{5}{4}-\frac{8}{3}$
Making the denominator equal:
$\Big[\Big(\frac{5}{4}\Big) \times\Big(\frac{3}{3}\Big)\Big]–\Big[\Big(\frac{8}{3}\Big) \times\Big(\frac{4}{4}\Big)\Big]$
$=\Big(\frac{15}{12}\Big)-\Big(\frac{32}{12}\Big)$
$=\Big(\frac{15-32}{12}\Big)$
$=-\frac{17}{12}$

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