Which is greater in each of the following:

(i)

(ii)

(iii)

(iv)

(v)

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,

Now,

And,

Since,

15 is greater than 4

Hence,

is greater than

(ii) We have,

Writing the fractions in the form of like denominators we get,

And,

Since,

-5 is greater than -8

Hence,

is greater than

(iii) We have,

Now, Writing the fractions in the form of like denominators we get,

And,

Since,

-8 is greater than -9

Hence,

is greater than

(iv) Here,

We have,

Now, in the question the fractions given already have like denominators.

But, one of the given fractions is positive and the other fraction is negative.

Since, positive is always greater than Negative

Hence,

is greater than

(v) Here,

We have,

First convert the mixed fraction into improper fraction. An improper fraction is the one whose numerator is bigger than the denominator. On doing so, we get,

And,

Since,

-115 is greater than -133

Hence,

is greater than