Answer:
Option 'b' i.e. -11/20 is the correct option.
Thus,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
Determining the difference of the fractions
[tex]\frac{1}{5}-\frac{3}{4}[/tex]
The Least Common Multiplier of 5, 4 is 20. Thus, adjust the fractions based on the L.C.M.
[tex]\frac{1}{5}-\frac{3}{4}=\frac{4}{20}-\frac{15}{20}[/tex]
Apply the fraction rule: [tex]\frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}[/tex]
[tex]=\frac{4-15}{20}[/tex]
Add the number: 4-15 = -11
[tex]=\frac{-11}{20}[/tex]
Apply the fraction rule: [tex]\frac{-a}{b}=-\frac{a}{b}[/tex]
[tex]=-\frac{11}{20}[/tex]
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,
[tex]\frac{1}{5}-\frac{3}{4}=-\frac{11}{20}[/tex]
