Page 4 - Matematica_Mathematics - Fractii_Fractions

7. Fractions

The fractions’ discussion is one you have no fear of, for sure.
Earlier, in the second grade you have learned about half (“doime”) and
quarter (“pătrime”), that is, about the half and quarter of a whole.
You have learned that half is the part of a whole divided into two
equal parts, it is noted by 1/2 and it reads 1 over 2 or 1 on 2 and to get
a quarter from a whole, we divide it into 4 and note 1/4. We read 1 over
4 or 1 on 4.
In the third and fourth grades you discovered a lot of new things
about fractions. Starting from the fact that a whole can be divided
into as many equal parts, you learned about third, fifth, eighth or tens
(“treime, cincime, optime, zecime”).

Practice

1. Write the fractions represented in the pictures.

Dividing the whole into n equal parts, we denote a part with 1/n . This part is called fractional unit

(“unitate fracționară”) and one or more fractional units represent a fraction (“fracție”).
Let’s take a whole that will please everyone - a delicious
pizza. I will divide the pizza into 8 equal parts. Each of the
slices obtained represents a eighth (“optime”), i.e. . In other
words, I cut the pizza into 8 slices and got a slice. If we are
only 4 friends who will brotherly share this pizza, everyone
will have two slices, that is, two eighths of it .
In the fraction , 8 is denominator (“numitorul”) and it
shows us how many equal parts the whole was divided into. 2
is numerator (“numărătorul “) and it shows how many equal
parts were taken into account. The horizontal line separating
the numerator from the denominator is called fraction line
(“linie de fracție”). This corresponds, in fact, to the division
operation.
One slice, two, three to 7 slices, is less than whole pizza,
_ 1 _ 2 numerator I mean up to I am subunit fractions (“fracții subunitare “)
fraction line
8 8 denominator (smaller than the whole). They have the denominator bigger
than the numerator and their value is less than 1.