Verify whether the given statement is true or false: 13 5 26 10 =… - Vidyadip

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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