I started doing complex fraction solving, and for some reason, i cant get this simply one solved. I know the answer, but still have no idea how to get it....
Problem: (4/5 + 2/3)/((5/8 -1/4) Answer: 11 11/15
Solving method by me: (4/5 + 2/3) = 22/15
(5/8 - 1/4) = 3/8? this is where i get lost. I know the top one to be correct.... but my bottom fraction of the equation doesnt add up to the answer.
(22/15)/(3/8) = 22*8= 176 15*3=45 176/45 or 3 & 41/45.
I know that 176 is correct because 11 & 11/15 = 176/15
Where I get lost is why do I keep coming up with 45 for my denominator in my final answer.
For the top part of my answer i concluded 15 To be my LCD and concluded (4/5*3/3) + (2/3*5/5) to get 22/15
For the bottom i thought 8 would be my LCD and concluded (5/8 *1/1) - (1/4 * 2/2) to get 3/8
It seems to me in order to get the right answer my numerator in the bottom part of the equation (the 3/8) should actually equal 1/8, so when i flip it to get my reciprocal, my equation to get my final answer should be 22/15*8/1 but i get 22/15*8/3. Where am i going wrong??
Problem: (4/5 + 2/3)/((5/8 -1/4) Answer: 11 11/15
Solving method by me: (4/5 + 2/3) = 22/15
(5/8 - 1/4) = 3/8? this is where i get lost. I know the top one to be correct.... but my bottom fraction of the equation doesnt add up to the answer.
(22/15)/(3/8) = 22*8= 176 15*3=45 176/45 or 3 & 41/45.
I know that 176 is correct because 11 & 11/15 = 176/15
Where I get lost is why do I keep coming up with 45 for my denominator in my final answer.
For the top part of my answer i concluded 15 To be my LCD and concluded (4/5*3/3) + (2/3*5/5) to get 22/15
For the bottom i thought 8 would be my LCD and concluded (5/8 *1/1) - (1/4 * 2/2) to get 3/8
It seems to me in order to get the right answer my numerator in the bottom part of the equation (the 3/8) should actually equal 1/8, so when i flip it to get my reciprocal, my equation to get my final answer should be 22/15*8/1 but i get 22/15*8/3. Where am i going wrong??