Question

which of the following pairs are equivalent rational numbers?​

Answer 1

Answer:

Option b is the equivalent rational number..

Step-by-step explanation:

7/-15 multiply by numerator and denominator by 5 we get 35/-75..

Answer 2

given three pairs of fractional numbers ,find which of them are equivalent rational numbers

Explanation:

1. given two fractions  $\frac{x}{y} ,\ \frac{m}{n}$  are considered equivalent if even though their numerators and denominators may or may not be equal they amount to equal values eventually.
2. for example,   $\frac{3}{4}, \frac{15}{20}$ are equivalent as $\frac{15}{20}= \frac{(5)3}{(5)4} =\frac{3}{4}$                                              
3. first we have $\frac{-4}{13} ,\ \frac{60}{-195}$. hence, we get                                                                        $\frac{-4}{13}=-\frac{4}{13} \\ \frac{60}{-195}=\frac{(15)4}{-(15)13}=-\frac{4}{13}$         ---> hence pair (i) is rational and equivalent
4. next we have $\frac{7}{-15} ,\ \frac{-35}{-75}$. hence, we get                                                                        $\frac{7}{-15}=-\frac{7}{15} \\ \frac{-35}{-75}=\frac{(-5)7}{(-5)15}=\frac{7}{15}$               --->hence pair (ii) is not equivalent rational
5. next we have $\frac{16}{-20} ,\ \frac{-56}{70}$. hence, we get                                                                         $\frac{16}{-20}=\frac{(4)4}{-(4)5} =-\frac{4}{5} \\ \frac{-56}{70}=\frac{-(14)4}{(14)5}=-\frac{4}{5}$              ---> hence pair (iii) is also rational and equivalent