Question

the difference between the greatest and the least of -5/9 ,2/9,-4/9 is ?​

Answer 1

Answer:

$\bold{\frac{7}{9}}$

Step-by-step explanation:

Here, 2/9 > - 4/9 > - 5/9

The denominators of all the fractions are same. But as we know that, negative of any smaller number is greater than the negative number greater than that smaller number.

Therefore, the largest number is 2/9 and the least number is - 5/9.

Now, the difference between the larger and the smaller number is : -

$\frac{2}{9} - \frac{(-5)}{9}$

$= \frac{2}{9} + \frac{5}{9}$ [as we know, (-) × (-) = (+)]

$\frac{2 + 5}{9}$

Here, both the denominators are same. So, you can directly add the numerators by keeping the denominator same and write it only one time.

Now, $\frac{7}{9}$

So, the difference between the greatest and the least number is $\bold{\frac{7}{9}}$