[]/[] < []/[], if p × s < r × q
Given that p/q and r/s are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that:

Solution:

Given, p/q and r/s are two rational numbers with different denominators.

p/q and r/s are in standard form.

We have to fill in the boxes if p × s < r × q

From the given statement,

p × s < r × q

On simplification,

p/q < r/s

Therefore, p/q < r/s

āœ¦ Try This: Write the following number in the form p/q , where p and q are integers : opposite

of nine-fifths

Given, p and q are integers

We have to write the opposite of nine-fifths in the form of p/q.

Opposite of nine-fifths means reciprocal of nine-fifths.

nine-fifths = 9/5

Reciprocal means an expression which when multiplied by another expression, gives unity (1) as a result.

Reciprocal of 9/5 = 1/(9/5)

= 5/9

Therefore, p/q = 5/9

ā˜› Also Check: NCERT Solutions for Class 7 Maths Chapter 9

NCERT Exemplar Class 7 Maths Chapter 8 Problem 90(a)

[]/[] < []/[], if p × s < r × q. Given that p/q and r/s are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that:

Summary:

Given that p/q and r/s are two rational numbers with different denominators and both of them are in standard form. To compare these rational numbers we say that p × s < r × q, then p/q < r/s

ā˜› Related Questions:

Math worksheets and
visual curriculum