Respuesta :
Answer:
1/2 gal, 3/5 gal and 2/3 gal.
Step-by-step explanation:
Given the amounts of different colors of paints:
Amount of yellow paint = 3/5 gal.
Amount of blue paint = 2/3 gal and
Amount of green paint = 1/2 gal.
We need to order 3/5 gal, 2/3 gal and 1/2 gal from least to greatest.
In order to arrange them from least to greatest, we need to find the least common denominator of 3/5, 2/3 and 1/2.
We have 5, 3 and 2 in denominators.
Least common multiple of 5, 3 and 2 is = 5×3×2= 30.
Let us covert each denominator as 30.
Multiplying first fraction 3/5 by 6 in top and bottom, we get
[tex]\frac{3}{5} = \frac{3\times6}{5\times6}=\frac{18}{30}[/tex]
Multiplying first fraction 2/3 by 10 in top and bottom, we get
[tex]\frac{2}{3} = \frac{2\times10}{3\times10}=\frac{20}{30}[/tex]
Multiplying first fraction 1/2 by 15 in top and bottom, we get
[tex]\frac{1}{2} = \frac{1\times15}{2\times15}=\frac{15}{30}[/tex].
Now, we can check [tex]\frac{18}{30}, \frac{20}{30} \ and \ \frac{15}{30}.[/tex]
[tex]\frac{15}{30}[/tex] is the smallest, [tex]\frac{18}{30}[/tex] is greater and [tex]\frac{20}{30}[/tex] is the greatest.
Therefore, we can arrange fractions [tex]\frac{15}{30}[/tex], [tex]\frac{18}{30}[/tex] and [tex]\frac{20}{30}[/tex].
Writing original fractions in place of equivalent fractions, we can write
1/2, 3/5 and 2/3.
Therefore, the order the amounts of paint from least to greatest is:
