If (1/x)=(1/3)+(1/5) , then x =
can somebody help me solve this and give a brief explanation!
thanks!
2007-05-02 21:42:12 · 8 answers · asked by w s 3 in Science & Mathematics ➔ Mathematics
1/x = 1/3 + 1/5
Multiply the equation by 15x
15x( 1/x = 1/3 + 1/5)
15 = 5x + 3x
15 = 8x
15/8 = x
x = 15/8 ==> the answer
To check
1/15/8 = 1/3 + 1/5
8/15 = 1/3 + 1/5
Convert the right side to similar fractions by finding their LCD
LCD = 15
1/3 + 1/5 = 5/15 + 3/15 = 8/15
8/15 = 8/15
2007-05-02 21:54:38 · answer #1 · answered by detektibgapo 5 · 0⤊ 0⤋
First, you have to solve 1/3 + 1/5
Since the least common denominator between 3 and 5 is 15, it becomes (5+3)/15 = 8/15
Your equation is now 1/x = 8/15
Multiply 15 by 1 and x by 8 to get:
15 = 8x... hence, x= 15/8
And you can check it also:
The original equation becomes:
[1/(15/8)] = 1/3 +1/5
Therefore, 8/15 = 1/3 + 1/5
Which checks out correctly.
2007-05-03 04:55:19 · answer #2 · answered by kia78 3 · 0⤊ 0⤋
1/x = 1/3 + 1/5
You can try unifying the denominator on the left side:
1/x = 5/15 + 3/15
which will give you:
1/x = (5+3)/15
1/x = 8/15
Now flip both sides upside down:
x = 15/8 or x = 1 7/8
2007-05-03 04:54:38 · answer #3 · answered by imdashti 6 · 0⤊ 0⤋
factorise 1/3+1/5 using a denominator of 15
1/x=5/15+3/15
1/x=8/15
multiply through by x
1=8x/15
8x=15
x=15/8
2007-05-03 04:48:10 · answer #4 · answered by colesey72 4 · 0⤊ 0⤋
(1 / x) = 5 / 15 + 3 / 15
(1 / x) = 8 / 15
x = 15 / 8
2007-05-03 05:51:56 · answer #5 · answered by Como 7 · 0⤊ 0⤋
1/x = (1/3) + (1/5)
1/x =(5+3)/(5*3)
1/x= 8/15
x=15/8
2007-05-03 05:09:32 · answer #6 · answered by dilsemusafir 1 · 0⤊ 0⤋
15/8 inverted=1/x
least common denominator rule for addition of fractions
2007-05-03 04:51:42 · answer #7 · answered by Micheal A 2 · 0⤊ 0⤋
(1/x)=(1/3)+(1/5)
mulitply both sides by 15x
15 = 5x + 3x
15 = 8x
x = 15/8
2007-05-03 04:45:35 · answer #8 · answered by michael_scoffield 3 · 0⤊ 0⤋