In these examples, we want to identify
the fractions plotted on the number line.
Looking at the first number line,
you'll notice we have
zero here and one here,
and from zero to one is divided into,
one, two, three, four equal pieces
which means each tick mark represents 1/4.
So starting at zero, this would be 1/4.
This would be 2/4, which
does simplify to 1/2.
This red point would be 3/4, the fraction
we're looking four, then here we have
4/4 which is equal to one.
So for this problem, this red point
represents 3/4.
Looking at the second
example, again notice
how we have zero here and one here,
and then from zero to one is divided into
one, two, three, four, five equal pieces
which means each tick mark represents 1/5.
So this would be 1/5,
2/5, so this red point
represents 3/5, and then we'd have 4/5,
and then this would be
5/5 which is equal to one.
And then we'd have 6/5, 7/5 and so on.
So the two fractions
plotted on this number line
are 3/5 and 7/5.
Now it is true that 7/5
is an improper fraction.
We could have written this as one and
this would be 1/5 and 2/5, so one and 2/5.
But normally when we're
identifying fractions
on the number line, we
haven't learned about
mixed numbers yet, so 7/5 would be
the fraction part of the number line
with this blue point,
and 1 and 2/5 would be
the mixed number part of the number line
with this blue point.
