Question 47421: I am trying to solve and simplify the following
1 + 2/3
divided by
2 + 1/2
Can someone assist me with this please and thank you.
Answer by mszlmb(115)   (Show Source):
You can put this solution on YOUR website! Your problem is  .
As you know, 1+2/3 = 3/3+2/3. Why? Well 1=1/1 or 2/2 or 3/3 or 23123/23123 etc..., we just changed it to 3/3 for convenience. How do we add 3/3 and 2/3? as long as the denominators ( ) are the same, you just add the nominators. 2+3=5, and thus 2/3+3/3=5/3. Applying this to the denominator of , we have  .
we're dividing fractions, which is simple. you see, to divide fractions, you just take the second fraction, and FLIP IT, then multiply.
you wanna divide 5/3 by 5/2, so you multiply 5/3 by 2/5!
and multiplying is even simpler, just multiply nom*nom and den*den, SIMPLE!
5/3*2/5=10/15, because 5*2=10 and 3*5=15.
SIMPLIFY!!!
10/15 has the greatest common factor of 5, dividing both top n bottom by 5 gives us 2/3.
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