How do you solve fractions equations by adding and subtracting?

i have so much hard times in pre-algebra and i don’t know how to solve fractions equations addition and subtraction.the problem is k+3 3/4=5 2/3-1 1/3.the problem is i don’t know how to solve it!

I understand the problem is

k + 3 and 3/4 = 5 and 2/3 - 1 and 1/3

Change the mixed fractions into

k + 15/4 = 17/3 - 4/3

k + 15/4 = 13/3

k = 13/3 - 15/4

k = 7/12

Have a good day!

5 Responses to “How do you solve fractions equations by adding and subtracting?”

  1. Don Says:

    I understand the problem is

    k + 3 and 3/4 = 5 and 2/3 - 1 and 1/3

    Change the mixed fractions into

    k + 15/4 = 17/3 - 4/3

    k + 15/4 = 13/3

    k = 13/3 - 15/4

    k = 7/12

    Have a good day!
    References :

  2. Zylo Says:

    Start with the part you have all the numbers for. 5 2/3 - 1 1/3 obviously equals 4 1/3. So, the only other number you have is 3 3/4. Thus, subtract 3 3/4 from 4 1/3. Find the least common factor of the fractions and change it so you have 4 4/12 - 3 9/12. Then it’s simple math, normal subtraction, and leaves you with 7/12.
    References :

  3. [Last]_Demon Says:

    I THINK I KNOW THE ASNWER FOR YOUR QUESTION [ 3K 3/4= 4 1/3 ]
    References :

  4. Erik Says:

    find a common denominator;
    k+3 3/4=4 1/3 change to an improper fraction
    k+15/4=13/3 common denominator is 12 so multiply 15/4 by 3 and 13/3 by 4
    K+45/12=52/12
    subtract 45/12 from both sides
    K=12/12 or ONE
    References :
    too many math classes

  5. Wile E. Says:

    k + 3 3/4 = 5 2/3 - 1 1/3
    k + 15/4 = 17/3 - 4/3…………(Convert proper fractions to improper fractions)
    k = 17/3 - 4/3 - 15/4………….(Subtract 15/4 from both sides)
    12k = 204/3 - 48/3 - 180/4….(Multiply both sides by 12, the LCD)
    12k = 68 - 16 - 45…………….(Simplify fractions)
    12k = 7…………………………(Combine like terms)
    k = 7/12………………………..(Divide both sides by 12)
    ¯¯¯¯¯¯¯
    References :

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