Question

What is the difference of the fractions? Use the number line to help find the answer.

LE
13
54
|
1
16
18
120
14
120
to
다.
-
0
11
10
10
20 20
20 20 2020
x
20
0

Answer 1

Option 'b' i.e. -11/20 is the correct option.

Thus,

`(1)/(5)-(3)/(4)=-(11)/(20)`

Explanation:

Given the expression

`(1)/(5)-(3)/(4)`

Determining the difference of the fractions

`(1)/(5)-(3)/(4)`

The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.

`(1)/(5)-(3)/(4)=(4)/(20)-(15)/(20)`

Apply the fraction rule:
`(a)/(c)-(b)/(c)=(a-b)/(c)`

`=(4-15)/(20)`

Add the number: 4-15 = -11

`=(-11)/(20)`

Apply the fraction rule:
`(-a)/(b)=-(a)/(b)`

`=-(11)/(20)`

Please check the attached figure, where the pointing-down arrow is representing the correct answer which is -11/20.

Therefore, option 'b' i.e. -11/20 is the correct option.

Thus,

`(1)/(5)-(3)/(4)=-(11)/(20)`