i have a hard time figuring this out 5/6 + 3/4

Question

 i have this in math and i don't understand it can you help me out!

 

Answer 1

Hi Nakesha from Campbell, OH. Have a great day at school.

Great! A fraction addition problem. Every student's favorite! NOT!

Glad you contacted Wyzant. I'll help you understand how to set up and solve these kind of problems. Giving you the answer is too easy, you don't learn how to solve them yourself. When you learn how, you will be a pro.

Let's start: here is your equation:

              5/6  +  3/4  =  ?      With these kind of problems, you will notice

                                            the denominators are not the same. When

                                            it comes to adding and subtracting fractions

                                            you know the denominators have to be the

                                            same! RIGHT?? So, we need to do some

                                            thing to change the fractions so that they

                                            can look the same, BUT NOT change their 

                                            value. So HOW do we do that??

Here we go: the bottom numbers, the denominators have to be changes, but there is a specific method to change them.

    5   +   3    =  ?           We need to change the 6 and the 4 to a number

    6        4                     they have in common, the LCD. What do you

                                     think that is? What is a number each can be 

                                     divided into. They are both even AND they can 

                                     go into 12, RIGHT? So we do this:

   2 • 5   +  3 • 3     =     This changes your equation to

   2 • 6       3 • 4      

 

        10  +  9    =          Notice how we not have the denominators the

        12     12                same. Since they are the same you can now add

 

        10 + 9   =             Rewrite the equation and complete the operation

            12                    Then you can reduce to a mixed fraction

Now finish up the problem. Practice and you will get better.

Contact me on Wyzant if you have other questions.

Answer 2

you need to obtain a common denominator  (the same bottom number)

THe greatest common denominator is 12  6x2=12 and 4x3 = 12

 

multiply the first fraction by 2/2 which equals 1 to get 10/12

multiply the second fraction by 3/3 also equal to 1 to get 9/12

10/12  + 9/12 = 19/12 =  1  7/12