Answers:
In these exercices are ilustrated the representations of the fractions
2) Firstly, we have 3 equal segments, each one representing [tex]\frac{1}{4}[/tex], hence:
[tex]\frac{3}{4}[/tex] is 3 copies of [tex]\frac{1}{4}[/tex]
Let's prove it, taking into account we are adding fractions with the same denominator:
[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{3}{4}[/tex]
There are 4 equal parts that make a whole
Four copies of [tex]\frac{1}{4}[/tex] make [tex]\frac{4}{4}[/tex] or 1 whole
[tex]\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1[/tex]
3) Here we have a line divided into four segments, each one of [tex]\frac{1}{5}[/tex]. Hence:
This is [tex]\frac{4}{5}[/tex] of a line. [tex]\frac{4}{5}[/tex] is 4 lengths of [tex]\frac{1}{5}[/tex]
[tex]\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{4}{5}[/tex]
If we draw one more [tex]\frac{1}{5}[/tex] we will have [tex]\frac{5}{5}[/tex] or 1 whole.
Then:
5 lengths of [tex]\frac{1}{5}[/tex] make [tex]\frac{5}{5}[/tex] or 1 whole.
4) In this part the answer is in the attached image. If we have two equal segments, each one of [tex]\frac{1}{3}[/tex] we will have as a result [tex]\frac{2}{3}[/tex].
If we add another [tex]\frac{1}{3}[/tex] segment, we will have three segments of [tex]\frac{1}{3}[/tex], having as a result [tex]\frac{3}{3}=1[/tex]
