Answer:
3
Step-by-step explanation:
1. Since [tex]20=4\cdot 5[/tex] and [tex]12=3\cdot 4,[/tex] then
[tex]\dfrac{12}{20}=\dfrac{3\cdot 4}{4\cdot 5}=\dfrac{3}{5}.[/tex]
2. Note that
[tex]\dfrac{3}{5}=3\cdot \dfrac{1}{5}.[/tex]
Then 3 fifths are equivalent to [tex]\dfrac{12}{20}.[/tex]
Another way of solving this problem is in representing one fifth as a fraction with denominator 20:
[tex]\dfrac{1}{5}=\dfrac{1\cdot 4}{5\cdot 4}=\dfrac{4}{20}.[/tex]
Since [tex]12:4=3,[/tex] you can state that 3 fifths are equivalent to [tex]\dfrac{12}{20}.[/tex]
The three-fifths are equivalent to 12/20.
Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
Let's suppose the 'x' fifths are equivalent to 12/20
Mathematically:
[tex]\frac{x}{5} = \frac{12}{20}[/tex]
20 x = 12×5 (cross multiplication)
20x = 60
x = 3 (divide by 20 on both sides)
[tex]\frac{3}{5} = \frac{12}{20}[/tex] ( x = 3)
Or the given fraction 12/20
Divide by 4 on numerator and denominator, we get:
= 3/5
Thus, the three-fifths are equivalent to 12/20.
Learn more about the fraction here:
brainly.com/question/1301963
