What is the fraction between #2 1/10 and 2 2/5#?

2 Answers
Mar 8, 2018

First let's write both fractions over the same denominator.

Explanation:

In the fraction #2/5#, if we multiply both numerator and denominator by 2, we get this:

#2/5 * 2/2 = 4/10#

Remember that a number over itself is equal to one, so

#2/2 = 1, and 3/3 = 1, etc#

Now that we have #4/10#, let's write it as a decimal, which is #0.4#.

Let's express the original question as decimals:

#2 1/10 = 2.1 and 2 2/5 = 2 4/10 = 2.4#.

In between #2.1 and 2.4# is #2.3#, or #2 3/10#.

Is #2 3/10#the fraction you are looking for?

Mar 8, 2018

There are many possibilities,

Explanation:

There is not only one fraction between #2 1/10 and 2 2/5#

Convert to fractions with the same denominator.

#2 1/10 and 2 4/10#

Fractions between these are #2 2/10 and 2 3/10#

You can use bigger and bigger denominators and discover more fractions between.

#2 2/20 " "color(blue)(2 3/20" " 2 4/20 " "2 5/20)" "2 6/20#