Respuesta :

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

[tex] \frac{1 x 2}{2 x 2} - \frac{3}{4} [/tex]

3. 
Simplify. Denominators are now the same.

[tex] \frac{2}{4} - \frac{3}{4} [/tex]

4. Join the denominators

[tex] \frac{2-3}{4} [/tex]

5. Simplify

[tex] -\frac{1}{4} [/tex]

Done! :) 
Decimal Form: -0.25

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\boxed{\mathsf{\dfrac{1}{2} - \dfrac{3}{4}}}\\\\\\\large\boxed{\rightarrow\mathsf{\dfrac{2}{4} - \dfrac{3}{4}}}\\\\\\\large\boxed{\rightarrow \mathsf{\dfrac{2 - 3}{4}}}\\\\\\\large\boxed{\rightarrow\mathsf{- \dfrac{1}{4}}}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{- \dfrac{1}{4}}}}\huge\checkmark[/tex]

[tex]\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]