Complete: one-fourth compared to
one-half using less than or greater than.
First, let’s draw a picture of
each of these to see if we can visualize one-fourth compared to one-half. Here’s a visual representation of
one-fourth, and here’s the visual representation of one-half. This helps us to see that
one-fourth is less than one-half. How would we solve this problem if
we didn’t want to draw a picture?
To compare fractions without
drawing a picture, we need to find a common denominator. I know that four is a multiple of
two. I know that two times two is
four. So I’m going to bring down my
one-fourth. I won’t change that value. Then I’ll need to say how do I go
from two to four. How do I convert this denominator
of two to a denominator of four? We multiply by two. Two times two is four.
In order to keep our fractions
equivalent, we don’t wanna change the value of our fractions, we have to multiply
the numerator by the same value we multiply the denominator by. That means we need to multiply the
numerator, one, times two. And we can see that one-half is
equal to two-fourths. You can also see that in the
picture; one-half is equivalent to two-fourths. Now that we have a common
denominator, we can see that we’re comparing one-fourth to two-fourths. One-fourth is less than
Our final answer is: less than. One-fourth is less than