ok, the question is to perform the indicated operations. If possible, reduce to lowest terms.
/ means over (numerator over denominator, not division)
question:
(1/2 - 1/3) divided by 5/8
first person to show work and answer correctly gets ten points!
2006-07-15 07:04:51 · 11 answers · asked by A A 2 in Science & Mathematics ➔ Mathematics
(1/2 - 1/3)/5/8
First combine the fractions in parentheses.
1/2 - 1/3
Its easy to see that a common denominator is 6, so if we multiply the left fraction by 3/3 and the right fraction by 2/2 we can then do the operation
1*3/2*3 - 1*2/3*2 = 3/6 - 2/6 = 1/6
The original problem is now
(1/6)/(5/8)
A big numerator, 1/6, over a big denominator, 5/8
The rule here is to write the big numerator and then multiply it by the reciprocal of the big denominator.
(1/6)(8/5) = (1*8)/(6*5) = 8/30 = 4/15
Why does the rule work? Well, if you multiply the big denominator by its reciprocal you get
(8/5)(5/8) = 40/40 = 1 so the new big denominator becomes 1 and we have left only the new big numerator, remembering that whatever we did to the denominator we must also do to the numerator and the answer will be
(1/6)(8/5) = 4/15
2006-07-15 08:49:31 · answer #1 · answered by Anonymous · 0⤊ 0⤋
Hi, A *!
This is my work: (1/2 - 1/3) : 5/8 = (3/6 - 2/6) : 5/8 = 1/6 : 5/8 = (1 . 8)/(6 . 5) = 8/30 = 4/15
As you can see, I solved the difference between brackets first, then the division, and finally, I reduced the result to lowest terms (using equivalent fractions with equal denominator, for the difference).
Hope this helps.
Bye!
nuscolare
2006-07-15 07:21:25 · answer #2 · answered by nuscolare 1 · 0⤊ 0⤋
(1/2 - 1/3) divided by 5/8 = 1/6 * 8/5 = 4/15
2006-07-15 07:28:06 · answer #3 · answered by a_ebnlhaitham 6 · 0⤊ 0⤋
(1/2 - 1/3)=(3/6 - 2/6)=1/6
1/6 divided by 5/8=1/6 x 8/5=8/30=4/15
2006-07-15 07:15:51 · answer #4 · answered by Tigerlily_1201 2 · 0⤊ 0⤋
[1/2 - 1/3] =2/6 cuz u have to get the same denominator so
2/6-5/8=7/24 then you have to reduce it to 1/6
2006-07-15 15:30:51 · answer #5 · answered by Daisy V 2 · 0⤊ 0⤋
1/2-1/3= 3/6-2/6=1/6 divided by 5/8= 1/6 x8/5= 8/30= 4/15
2006-07-15 07:13:17 · answer #6 · answered by flowergrl0818 3 · 0⤊ 0⤋
1/2- 1/3=1/6
so 1/6 divided by 5/8 is 4/15
so the answer is 4/15
2006-07-15 07:08:33 · answer #7 · answered by nikki 3 · 0⤊ 0⤋
8/30
2006-07-15 07:09:28 · answer #8 · answered by oriental_dr 3 · 0⤊ 0⤋
(1/2 - 1/3)/(5/8)
(3/6 - 2/6)/(5/8)
(1/6)/(5/8)
(1/6) * (8/5)
(8/30), which can be reduced to (4/15).
2006-07-15 07:11:06 · answer #9 · answered by Keiron 3 · 0⤊ 0⤋
Hola! 8/30 which is the same as 4/15 :) I win, yay!!!
2006-07-15 07:13:35 · answer #10 · answered by mchav83 2 · 0⤊ 0⤋