Question

verify whether the given statement is true or false?
13/5 ÷ 26/10 = 26/10 ÷ 13/5
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Answer 1

13/5 ÷ 26/10=0.01

26/10 ÷ 13/5= 0.04

hence the statement is false

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Answer 2

Answer:

$\dfrac{13}{5}}\div\dfrac{26}{10}\\\\\implies \dfrac{13}{5}\times \dfrac{10}{26}\\\\\implies \dfrac{1}{2}\times 2\\\\\implies 1$

$\dfrac{26}{10}}\div\dfrac{13}{5}\\\\\implies \dfrac{26}{10}\times \dfrac{5}{13}\\\\\implies \dfrac{2}{1}\times \dfrac{1}{2}\\\\\implies 1$

Hence the statement is true .

Step-by-step explanation:

➡ For a statement to be true LHS must be equal to RHS .

➡ The division symbol can be changed to multiplication by taking reciprocal of the fraction .

➡ Example : a ÷ 1/b = a × b

➡ Example : a ÷ b/1 = a × 1/b

➡ Example : b ÷ c = b ÷ c/1 = b × 1/c = b/c .