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: Rational Numbers — MATHS STD 8 — Question

ICSE BoardEnglish MediumSTD 8MATHS: Rational Numbers3 Marks
Question
Evaluate: $\frac{1}{-15}+\frac{5}{-12}$
✓

Answer

$ \frac{1}{-15}+\left(\frac{5}{-12}\right)$
$ =\frac{-1}{15}-\frac{5}{12}$
$2$ $15, 12$
$2$ $15, 6$
$3$ $15, 3$
$5$ $5, 1$

 		 $1, 1$
$\text{LCM}$ of $15$ and $12$
$=2 \times 2 \times 3 \times 5=60$
$\frac{-1 \times 4}{15 \times 4}-\frac{5 \times 5}{12 \times 5} \ldots(\because \text{LCM}$ of $15$ and $12=$ $60)$
$=\frac{-4-25}{60}$
$=\frac{-29}{60}$

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