Verified Answer :

  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

    \(\frac{1 x 2}{2 x 2} - \frac{3}{4}\)

    3. 
    Simplify. Denominators are now the same.

    \(\frac{2}{4} - \frac{3}{4}\)

    4. Join the denominators

    \(\frac{2-3}{4}\)

    5. Simplify

    \(-\frac{1}{4}\)

    Done! :) 
    Decimal Form: -0.25

\(\huge\text{\bf Hey there!}\)

\(\large\boxed{\mathsf{\dfrac{1}{2} - \dfrac{3}{4}}}\\\\\\\large\boxed{\rightarrow\mathsf{\dfrac{2}{4} - \dfrac{3}{4}}}\\\\\\\large\boxed{\rightarrow \mathsf{\dfrac{2 - 3}{4}}}\\\\\\\large\boxed{\rightarrow\mathsf{- \dfrac{1}{4}}}\\\\\\\huge\text{Therefore, your answer: \boxed{\mathsf{- \dfrac{1}{4}}}}\huge\checkmark\)

\(\huge\text{\bf Good luck on your assignment \& }\\\huge\text{\bf enjoy your day!}\)

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