What is the fraction??
And clearly explain how to get an answer....thanks so much
2007-08-01 07:32:43 · 6 answers · asked by D-Unit 3 in Education & Reference ➔ Homework Help
let x be the denominator (an arbitrary choice) then:
(x-6)/x = 3/5 : algebraic equivalent given
3x = 5*(x-6) : cross multiplication
3x = 5x-30 : distribute multiplication
0 = 5x-3x - 30 subtract 3x from both sides
0 = 2x-30 : combine like terms
30 = 2x : subtract -30 (same as adding 30) to both sides
15 = x : divide both sides by 2
back to the original ratio:
(x-6)/ x = 3/5
x = 15 ---> (15-6)/15 = 3/5
9/15 = (3*3)/(3*5) = 3/5 : cancel common factor of 3
the value of the fraction is 9/15 : answer
2007-08-01 07:44:35 · answer #1 · answered by Anonymous · 0⤊ 0⤋
It is a problem to teach simplification by doing the reverse (unsimplifying the fraction). If you multiply a fraction by 1 you get the same fraction. This is useful because any number divided by itself equals one. So you just start trying numbers. First try 2/2 if you multiply 3/5 by 2/2 you get 6/10. This isn't the answer because the top number (numerator) is only 4 less than the bottom number (denominator). So try 3/3. 3/3 times 3/5 is 9/15. Ahaa That is the answer since 9 is six less than 15.
Good luck!
2007-08-01 14:40:01 · answer #2 · answered by Tesla 2 · 1⤊ 0⤋
The fraction is 9/15. If you reduce this fraction by dividing the top and the bottem 3 you will get 3/5. All I did was multiply the top and bottem by 3 which gives you 9/15. This is a multiple of 3/5. If you multiply the top and bottom number by the same number you will get a multiple.
3/5 x 3/3 you get 9/15.
15 - 9 = 6
I have the highest score in Ypsilanti for math so you can trust me for the correct answer.
2007-08-01 14:44:08 · answer #3 · answered by Anonymous · 0⤊ 0⤋
9/15
3/5 * 2/2= 6/10- this has a value of 3/5 but the numerator is NOT 6 less than its denominator, so you go up
3/5 * 3/3= 9/15- this has a value of 3/5 when you simplify it and the numerator IS 6 less than it's denominator
2007-08-01 14:44:53 · answer #4 · answered by billy g 2 · 0⤊ 0⤋
Multiply both the numerator and the denominator by 3. You get 9/15. 15- 9 = 6.
2007-08-01 14:42:48 · answer #5 · answered by fangtaiyang 7 · 0⤊ 0⤋
MULTIPLY 3/5 X 3=9/15---9 IS 6 LESS THAN 15 AND 9/15 WHEN REDUCED = 3/5
2007-08-01 14:43:10 · answer #6 · answered by Anonymous · 0⤊ 0⤋