Answer :
Let's go through the parts of the question:
3.5. Provide your own example of a mixed fraction and a proper fraction.
- An example of a mixed fraction is [tex]2\frac{3}{4}[/tex]. A mixed fraction is a combination of a whole number and a proper fraction.
- An example of a proper fraction is [tex]\frac{3}{5}[/tex]. A proper fraction has a numerator that is less than its denominator.
3.6. Simplify the following fractions:
3.6.1. [tex]\frac{7}{49}[/tex]
To simplify [tex]\frac{7}{49}[/tex], find the greatest common divisor (GCD) of 7 and 49, which is 7. Divide both the numerator and the denominator by 7:
[tex]\frac{7 \div 7}{49 \div 7} = \frac{1}{7}[/tex]
So, [tex]\frac{7}{49} = \frac{1}{7}[/tex].
3.6.2. [tex]\frac{12}{36}[/tex]
To simplify [tex]\frac{12}{36}[/tex], find the GCD of 12 and 36, which is 12. Divide both the numerator and the denominator by 12:
[tex]\frac{12 \div 12}{36 \div 12} = \frac{1}{3}[/tex]
So, [tex]\frac{12}{36} = \frac{1}{3}[/tex].
3.6.3. [tex]\frac{120}{30}[/tex]
To simplify [tex]\frac{120}{30}[/tex], find the GCD of 120 and 30, which is 30. Divide both the numerator and the denominator by 30:
[tex]\frac{120 \div 30}{30 \div 30} = \frac{4}{1} = 4[/tex]
So, [tex]\frac{120}{30} = 4[/tex].
3.6.4. [tex]5 \frac{6}{2}[/tex]
First, convert the mixed number to an improper fraction. [tex]5 \frac{6}{2}[/tex] means 5 whole plus [tex]\frac{6}{2}[/tex]. Simplify [tex]\frac{6}{2}[/tex] since 6 divided by 2 is 3:
[tex]5 + 3 = 8[/tex]
So, [tex]5 \frac{6}{2} = 8[/tex].
