Answer :
Answer:
C) [tex]\frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}[/tex]
Step-by-step explanation:
Given fractions:
[tex]\frac{2}{4}, \frac{4}{5}, \frac{7}{10},\frac{2}{3}[/tex]
To arrange the fractions from least to greatest.
Solution:
In order to arrange the fractions from least to greatest, we need to make the denominators common by taking LCD.
LCD of 4,5,10,3 can be found using their multiples.
4= 4,8,12,16,20,24,28,32,36,40,.........60
5= 5,10,15,20,25,30,.........60
10= 10,20,30,40,50,60
3= 3,6,9..........................60
So, 60 is the LCD.
Making the denominators common by multiplying same numbers to numerator and denominator.
[tex]\frac{2}{4}=\frac{2\times 15}{4\times 15}=\frac{30}{60}[/tex]
[tex]\frac{4}{5}=\frac{4\times12}{5\times 12}=\frac{48}{60}[/tex]
[tex]\frac{7}{10}=\frac{7\times 6}{10\times 6}=\frac{42}{60}[/tex]
[tex]\frac{2}{3}=\frac{2\times 20}{3\times 20}=\frac{40}{60}[/tex]
Comparing the numerators we can arrange the fractions.
[tex]\frac{2}{4}, \frac{2}{3}, \frac{7}{10}, \frac{4}{5}[/tex]