Ask Question
1 February, 00:43

How to simplify - 2 1/4 - 2/3 (-2+1/5)

+4
Answers (1)
  1. 1 February, 04:40
    0
    (-21) / 20

    Step-by-step explanation:

    Simplify the following:

    - (2 + 1/4) - 2/3 (1/5 - 2)

    Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4*2) / 4 + 1/4:

    - (4*2) / 4 + 1/4 - 2/3 (1/5 - 2)

    4*2 = 8:

    - (8/4 + 1/4) - 2/3 (1/5 - 2)

    8/4 + 1/4 = (8 + 1) / 4:

    - (8 + 1) / 4 - 2/3 (1/5 - 2)

    8 + 1 = 9:

    -9/4 - 2/3 (1/5 - 2)

    Put - 2 + 1/5 over the common denominator 5. - 2 + 1/5 = (5 (-2)) / 5 + 1/5:

    -9/4 - 2/3 1/5 + (5 (-2)) / 5

    5 (-2) = - 10:

    -9/4 - 2/3 ((-10) / 5 + 1/5)

    -10/5 + 1/5 = (-10 + 1) / 5:

    -9/4 - 2/3 (1 - 10) / 5

    -10 + 1 = - 9:

    -9/4 - 2/3 * (-9) / 5

    -2 (-9) = 18:

    (-9) / 4 + 18 / (3*5)

    3*5 = 15:

    (-9) / 4 + 18/15

    The gcd of 18 and 15 is 3, so 18/15 = (3*6) / (3*5) = 3/3*6/5 = 6/5:

    (-9) / 4 + 6/5

    Put (-9) / 4 + 6/5 over the common denominator 20. (-9) / 4 + 6/5 = (5 (-9)) / 20 + (4*6) / 20:

    (5 (-9)) / 20 + (4*6) / 20

    5 (-9) = - 45:

    (-45) / 20 + (4*6) / 20

    4*6 = 24:

    (-45) / 20 + 24/20

    -45/20 + 24/20 = (-45 + 24) / 20:

    (-45 + 24) / 20

    -45 + 24 = - 21:

    Answer: (-21) / 20
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “How to simplify - 2 1/4 - 2/3 (-2+1/5) ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers