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Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers1 Mark
Question
Add the following rational numbers.
$-1\ \text{and}\ \frac{3}{4}$
✓

Answer

We can write $-1\ \text{as}\ \frac{-1}{1}$

The denominators of the given rational number are 1 and 4.

LCM of 1 and 4 is 4

Now,

$\frac{-1}{1}=\frac{-1\times4}{1\times4}$

$=\frac{-4}{4}$

and $\frac{3}{4}=\frac{3\times1}{4\times1}$

$=\frac{3}{4}$

$\therefore-1+\frac{3}{4}$

$=\frac{-4}{4}+\frac{3}{4}$

$=\frac{-4+3}{4}$

$=\frac{-1}{4}$

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