Ask Question
9 April, 19:55

Simplify 1/4y + 1 1/2 + 2 - 1 3/4y - 12

+5
Answers (1)
  1. 9 April, 22:41
    0
    (-1 (3 y + 17)) / 2

    Step-by-step explanation:

    Simplify the following:

    y/4 - (1 + 3/4) y - 12 + 1/2 + 1 + 2

    Put 1 + 3/4 over the common denominator 4. 1 + 3/4 = 4/4 + 3/4:

    y/4 - 4/4 + 3/4 y - 12 + 1/2 + 1 + 2

    4/4 + 3/4 = (4 + 3) / 4:

    y/4 - (4 + 3) / 4 y - 12 + 1/2 + 1 + 2

    4 + 3 = 7:

    y/4 - 7 y/4 - 12 + 1/2 + 1 + 2

    Put each term in y/4 - (7 y) / 4 - 12 + 1/2 + 1 + 2 over the common denominator 4: y/4 - (7 y) / 4 - 12 + 1/2 + 1 + 2 = y/4 - (7 y) / 4 - 48/4 + 2/4 + 4/4 + 8/4:

    y/4 - (7 y) / 4 - 48/4 + 2/4 + 4/4 + 8/4

    y/4 - (7 y) / 4 - 48/4 + 2/4 + 4/4 + 8/4 = (y - 7 y - 48 + 2 + 4 + 8) / 4:

    (y - 7 y - 48 + 2 + 4 + 8) / 4

    Grouping like terms, y - 7 y - 48 + 2 + 4 + 8 = (y - 7 y) + (4 + 2 + 8 - 48):

    ((y - 7 y) + (4 + 2 + 8 - 48)) / 4

    y - 7 y = - 6 y:

    (-6 y + (4 + 2 + 8 - 48)) / 4

    4 + 2 + 8 - 48 = - 34:

    (-34 - 6 y) / 4

    Factor - 2 out of - 6 y - 34:

    (-2 (3 y + 17)) / 4

    The gcd of - 2 and 4 is 2, so (-2 (3 y + 17)) / 4 = ((2 (-1)) (3 y + 17)) / (2*2) = 2/2 * ( - (3 y + 17)) / 2 = ( - (3 y + 17)) / 2:

    Answer: (-1 (3 y + 17)) / 2
Know the Answer?
Not Sure About the Answer?
Find an answer to your question ✅ “Simplify 1/4y + 1 1/2 + 2 - 1 3/4y - 12 ...” in 📘 Mathematics if you're in doubt about the correctness of the answers or there's no answer, then try to use the smart search and find answers to the similar questions.
Search for Other Answers