Fill in the boxes with the correct symbol out of >, <, and =.
(i)
(ii)
(iii)
(iv)
(v)
(vi)
(vii)
In this question we have to compare two given fraction i.e. to find whether the given two fractions are equal or one is greater or less than the other.
Concept: It is easier to compare fractions with like denominators. So, we convert all the fractions into like denominators and the fraction which has greater denominator will be greater than the other fraction.
The parts of the given question are solved below:
(i) We have,
Writing the fractions in the form of like denominators we get,
And,
Since,
14 is greater than -15
Hence,
<
(ii) We have,
Writing the fractions in the form of like denominators we get,
And,
Since,
-25 is greater than -28
Hence,
<
(iii) We have,
Writing the fractions in the form of like denominators we get,
And,
Since,
-14 is equal to -14
Hence,
=
(iv) We have,
Writing the fractions in the form of like denominators we get,
And,
Since,
-32 is greater than -35
Hence,
>
(v) We have,
Writing the fractions in the form of like denominators we get,
And,
Since,
-3 is greater than --4
Hence,
<
(vi) We have,
Now, the two fractions already have like denominators, so we just need to check which is the fraction in which the numerator is larger.
Note: The fraction is considered negative if it has a negative sign either in numerator or in denominator.
-5 is equal to -5
Hence,
=
(vii) Here,
We have,
As you know, that Zero is greater than any negative rational number.
Hence,
0 >