So we need to convince jonathan which decimal is larger.

Step 2

So here's what we will do.

We will take 1000 quantity of both fractions and and try to eliminate the decimals.

That means, \(\displaystyle{0.4}\times{1000}={400}\ {\quad\text{and}\quad}\ {0.267}\times{1000}={267}\)

Since we took same quantities of the two decimals the comparison is easier and fair.

Since \(\displaystyle{400}{>}{267}\), 0.4 must be greater than 0.267