Question

9) Order the fractions from least to greatest. 2 4 , 4 5 , 7 10 , 2 3 A) 2 4 , 7 10 , 2 3 , 4 5 B) 7 10 , 2 4 , 2 3 , 4 5 C) 2 4 , 2 3 , 7 10 , 4 5 D) 2 4 , 7 10 , 4 5 , 2 3

Answer 1

C)
`(2)/(4), (2)/(3), (7)/(10), (4)/(5)`

Explanation:

Given fractions:

`(2)/(4), (4)/(5), (7)/(10),(2)/(3)`

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.

`(2)/(4)=(2* 15)/(4* 15)=(30)/(60)`

`(4)/(5)=(4*12)/(5* 12)=(48)/(60)`

`(7)/(10)=(7* 6)/(10* 6)=(42)/(60)`

`(2)/(3)=(2* 20)/(3* 20)=(40)/(60)`

Comparing the numerators we can arrange the fractions.

`(2)/(4), (2)/(3), (7)/(10), (4)/(5)`