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.
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.
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
Subtract the first rational number from the second in the following: $\frac{-8}{33},\frac{-7}{22}$
→Find the volume in cubic metres (cu.m) of the cuboids whose dimensions are: Length $= 10\ m$, breadth $= 25\ dm,$ height $= 25\ cm.$
→Repeater Machine:
Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
What will be the new length of a 4cm strip inserted in the machine?
→Similarly, repeater machine is a hypothetical machine which automatically enlarges items several times. For example, sending a piece of wire through a $(x2^4)$ machine is the same as putting it through a $(x2)$ machine four times. So, if you send a $3\ cm$ piece of wire through a $(x2^4)$ machine, its length becomes $3 \times 2 \times 2 \times 2 \times 2 = 48\ cm$. It can also be written that a base $(2)$ machine is being applied $4$ times.
What will be the new length of a 4cm strip inserted in the machine?
Write down the number of edges of the following figures: cube.
Evaluate:$\Big(\frac{1}{15}\Big)^3$
→Give 3 ratios that are proportional to 4 : 9.
Find the number of sides of a regular polygon whose each exterior angle measures: $72^\circ $
→Factorise the following, using the identity $a^2+ 2ab + b^2= (a + b)^2$
$x^2+ 2x + 1$
→$x^2+ 2x + 1$
What is the smallest number by which the following number must be multiplied, so that the product are perfects cube$?\ 357221$
→Following are some figures: Classsify these figures on the basis of the following:Simple curve.