MCQ
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}=$
- ✓$\frac{3}{4}$
- B$-\frac{3}{4}$
- C$\frac{-7}{12}$
- D$\frac{7}{12}$
✓
Answer
Correct option: A.
$\frac{3}{4}$
$\frac{5}{4}-\frac{7}{6}-\frac{-2}{3}$
$=\frac{5}{4}+\Big(\frac{-7}{6}\Big)+\frac{2}{3}$ $\Big[-\Big(\frac{-2}{3}\Big)=\frac{2}{3}\Big]$
$=\frac{5\times3+(-7)\times2+2\times4}{12}$ ($LCM$ of $3, 4$ and $6 = 12)$
$=\frac{15-14+8}{12}$
$=\frac{9}{12}$
$=\frac{9\div3}{12\div3}$ (Dividing numerator and denominator by $3)$
$=\frac{3}{4}$
Hence, the correct answer is option $(a).$
$=\frac{5}{4}+\Big(\frac{-7}{6}\Big)+\frac{2}{3}$ $\Big[-\Big(\frac{-2}{3}\Big)=\frac{2}{3}\Big]$
$=\frac{5\times3+(-7)\times2+2\times4}{12}$ ($LCM$ of $3, 4$ and $6 = 12)$
$=\frac{15-14+8}{12}$
$=\frac{9}{12}$
$=\frac{9\div3}{12\div3}$ (Dividing numerator and denominator by $3)$
$=\frac{3}{4}$
Hence, the correct answer is option $(a).$
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