5/6 of a number is 3/4. What is the number?
2006-11-04 11:57:23 · 7 answers · asked by Tami C 3 in Science & Mathematics ➔ Mathematics
9/10
the equation is (5/6)x=3/4
so times (3/4) by the reciprical of (5/6) which is (6/5)
so (3/4) * (6/5) = 18/20=9/10
2006-11-04 11:58:46 · answer #1 · answered by RichUnclePennybags 4 · 1⤊ 0⤋
Rewrite using math terms...
5/6 * X = 3/4
Multiply by the reciprocal of 5/6 on both sides
(6/5)*(5/6) * X = (3/4)*(6/5)
X = 18/20 .....remember that (6/5)*(5/6)=(30/30) = 1
Now reduce...
X = 9/10
PS The word "of" just means multiply and "is" is equals to and a number can be replaced by X
2006-11-04 12:04:08 · answer #2 · answered by pummeloman 2 · 0⤊ 0⤋
X = 9/10
2006-11-04 13:24:19 · answer #3 · answered by J 6 · 0⤊ 0⤋
Let the number be 'x'
(5/6)x = 3/4
5x/6 = 3/4
5x = (3*6)/4
5x = 18/4
x = 18/(4*5)
x = 18/20
x = 9/10
5/6 of 9/10 is 3/4
2006-11-04 12:38:00 · answer #4 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
Let the number be x.
(5/6)x = 3/4
5x/6 = 3/4
Cross multiply: (5x)(4) = (3)(6)
20x = 18
Therefore x = 18/20 = 9/10
Hope this helps :)
2006-11-04 12:06:47 · answer #5 · answered by chyrellos 2 · 0⤊ 0⤋
(5/6)x=3/4
so 5x = 9/2
so x = 9/10 = 0.9
2006-11-04 11:59:49 · answer #6 · answered by ? 7 · 0⤊ 0⤋
pumelloman and chyrellos gave great answers.
In particular, read the P.S. that pumelloman added. That should make it easier for you to convert word problems into equations that you can solve.
Good luck!
2006-11-04 12:34:09 · answer #7 · answered by actuator 5 · 0⤊ 0⤋