Question

1. Consider the rational numbers 4/13 and 3/10 .

A. Which number is the larger number? Explain.
B. What is a rational number between the two given numbers?

Answer 1

So
`(4)/(13)` >
`(3)/(10)`

Explanation:

the rational numbers are
`(4)/(13)` and
`(3)/(10)`

Here denominators are not same . First convert these unlike fraction in to like fraction.

first find the LCM of 13 and 10 = 130

`(4)/(13)` = (
`(4)/(13)` )×(
`(10)/(10)`)

=
`(40)/(130)`

`(3)/(10)` = (
`(3)/(10)`) × (
`(13)/(13)`)

=
`(39)/(130)`

Here now both fractions are like fraction.

`(40)/(130)` >
`(39)/(130)`

So
`(4)/(13)` >
`(3)/(10)`

There are only one number beteen these two rational numbers