
Minjeong K.
asked 10/22/21\frac{2\left(a+b\right)}{a+b+c}\:\:a=1,\:b=2,\:c=3
1 Expert Answer

Laura B. answered 10/22/21
Stress Free Studies! Math Tutor with MEd. UCSD, BS Physics UCSC
Hello!
If I understood your question correctly, you need to put in the values given for A, B, and C and evaluate your expression--meaning do all the addition, multiplication and division until you have a fraction in its simplest form.
Key things to know are that you need to do the addition within the () before you multiply together the parts of the denominator.
So I think you're evaluating:
2/[(a+b)(a+b+c)] where a= 1, b=2, c=3
That gives you:
2/[(1+2)(1+2+3)]
Doing the addition first you have:
2/[(3)(6)]
Which after doing the multiplication in the denominator becomes:
2/[(18)]
After you do that, simplify the numerator and denominator by dividing out the common factor of 2.
1/[(9)]
Please see my video above, as I fully work the problem there and explain more about why we do things in the order shown.
Thanks!
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Mark M.
Use the tool bar to write the expression.10/22/21