Fraction
1.1. Knowledge to remember
a)
Divide the circle into 6 equal parts, color 5 parts.
 I say: Colored five sixths circle.
 We write: \(\frac{5}{6}\), read as five sixths.
 We call \(\frac{5}{6}\)
$\frac{\mathrm{}}{}$was fraction.
 Fraction \(\frac{5}{6}\)
$\frac{\mathrm{}}{}$have numerator is 5, denominator is 6.
The denominator is the natural number written under a dash. The denominator indicates that the circle is divided into 6 equal parts.
The numerator is a natural number written under a dash. The numerator indicates that 5 equal parts have been colored.
b) For example : Fractions indicating the shaded part of each figure below are written and read as follows:
c) Comment : \(\frac{5}{6};\frac{1}{2};\frac{3}{4};\frac{4}{7}\) are fractions.
Each fraction has a numerator and a denominator. The numerator is the natural number written on the dash. The denominator is a nonzero natural number written under a dash.
1.2. Solving Textbook Exercises
Lesson 1:
a) Write and read the fraction indicating the shaded part in each picture below:
b) In each of these fractions, what does the denominator indicate, and what does the numerator indicate?
Solution guide:
 Observe the figure to write the fraction corresponding to each figure.
 In each fraction, the numerator indicating the number of equal parts has been colored and the denominator indicating the total number of equal parts.
a) Figure 1: \(\frac{2}{5}\) reads as : two fifths ;
Figure 2: \(\frac{5}{8}\) reads as : five eighths ;
Figure 3: \(\frac{3}{4}\) reads as : three quarters ;
Figure 4: \(\frac{7}{{10}}\)
$\frac{\mathrm{}}{}$read as: seven tenths;
Figure 5: \(\frac{3}{6}\)
$\frac{\mathrm{}}{}$read as : three sixths ;
Figure 6: \(\frac{3}{7}\) reads as : threesevenths.
b) Figure 1: \(\frac{2}{5}\) the denominator is 5 indicates that the rectangle has been divided into 5 equal parts, the numerator is 2 indicating that 2 equal parts have been colored there.
Figure 2: \(\frac{5}{8}\) the denominator of 8 indicates that the circle has been divided into 8 equal parts, the numerator is 5 indicating that 5 equal parts have been colored.
Figure 3: \(\frac{3}{4}\ the denominator is 4 indicating that the triangle has been divided into 4 equal parts, the numerator is 3 indicating that the 3 equal parts have been colored.
Figure 4: \(\frac{7}{{10}}\) the denominator of 10 indicates that there are 10 equal circles, the numerator is 7 indicating that 7 equal circles have been colored.
Figure 5: \(\frac{3}{6}\) the denominator of 6 indicates that the figure has been divided into 6 equal parts, the numerator is 3 indicating that the 3 equal parts have been colored.
Figure 6: \(\frac{3}{7}\) the denominator is 7 indicating that there are 7 identical stars, the numerator is 3 indicating that 3 stars have been colored.
Lesson 2: Write according to the pattern
Fraction 
Numerator 
Denominator 
\(\frac{6}{{11}}\) 
6 
11 
\(\frac{8}{{10}}\) 


\(\frac{5}{{12}}\) 


Fraction 
Numerator 
Denominator 

$3$ 
$8$ 
\(\frac{{18}}{{25}}\)




twelfth 
55 
Solution guide:
 The numerator is a natural number written on a dash, the denominator is a nonzero natural number
$0$write under the dash.
Fraction 
Numerator 
Denominator 
\(\frac{6}{{11}}\) 
6 
11 
\(\frac{8}{{10}}\) 


\(\frac{5}{{12}}\) 

first 
Fraction 
Numerator 
Denominator 

$3$ 
$8$ 
\(\frac{{18}}{{25}}\)




twelfth 
55 
Lesson 3: Write fractions
a) Two fifths ; b) Eleven twelfths ;
c) Four ninths ; d) Nine tenths ;
e) Fiftytwo eightyfourths.
Solution guide:
 When reading fractions, we read the numerator first, the dash read as “part”, then read the denominator. From there, we can write a fraction based on how it is read.
a) \(\frac{2}{5}\) ; b) \(\frac{{11}}{{12}}\)
$\frac{\mathrm{}}{}$;
c) \(\frac{4}{9}\) ; d) \(\frac{9}{{10}}\) ; e) \(\frac{{52}}{{84}}\)
Lesson 4: Read the following fractions: \(\frac{5}{9};\frac{8}{{17}};\frac{3}{{27}};\frac{{19}}{{33} };\frac{{80}}{{100}}\)
Solution guide:
 When reading fractions, we read the numerator first, the dash read as “part”, then read the denominator.
\(\frac{5}{9}\)
$\frac{\mathrm{}}{}$read as: five ninths ;
\(\frac{8}{{17}}\) reads as: eight seventeenth ;
\(\frac{3}{{27}}\) reads as: three twentyseven ;
\(\frac{{19}}{{33}}\) reads as: nineteen thirtythree ;
\(\frac{{80}}{{100}}\) reads as: eighty one hundredths.
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