Question

the greatest rational number among the folowing a) -4/5 b) -1 c) -23/50 d) -17/25​

Answer 1

Answer:

b.-1 is the smallest rational number .

Answer 2

Given,

4 rational numbers such that, $-\frac{4}{5}$ , -1, $-\frac{23}{50}$, $-\frac{17}{25}$.

To Find,

The greatest one among the 4 rational numbers.

Solution,

All of the 4 rational numbers have different terms as the denominator.

To find the greatest one more easily we need to make all the denominators be =LCM(Denominators)=LCM(5,50,25,1)=50.

So we need to multiply each number with something to change the denominator to 50, without changing the particular value.

• $-\frac{4}{5} = - \frac{4}{5} .\frac{10}{10} =-\frac{40}{50}$
• -1 =$-\frac{50}{50}$.
• $-\frac{23}{50}$.This will remain as it is.
• $-\frac{17}{25}=-\frac{17}{25}.\frac{2}{2} = -\frac{34}{50}$.

Now all denominators are the same now we can say 50>40>34.

So -1 =$-\frac{50}{50}$ is the greatest one.

Hence, the greatest rational number among the given is (Option b)-1.