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
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]