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Rational Numbers — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsRational Numbers2 Marks
Question
Verify whether the given statement is true or false:
$\frac{13}{5}\div\frac{26}{10}=\frac{26}{10}\div\frac{13}{5}$
✓

Answer

False.

Solution:

$\text{L.H.S.}=\frac{13}{5}\div\frac{26}{10}$

$=\frac{13}{5}\times\frac{10}{26}$

$=\frac{13\times10}{5\times26}$

$=\frac{130}{130}$

$=1$

$\text{R.H.S.}=\frac{26}{10}\div\frac{13}{5}$

$=\frac{26}{10}\times\frac{5}{13}$

$=\frac{26\times5}{10\times13}$

$=\frac{130}{130}$

$=1$

It is true but law is not true.

Hence, False.

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