Can you figure out these two math problems?

Question

1. 15/50 = 3/_(15/50 is equal to 3/_)

2.Margrat says the value of a fraction doesn't change if you do the same thing to the denominator and the numerator. Margret says that she added 2 to the denominator and the numerator in 1/4 and got 3/6.

1/4 + 2/2 = 3/6

Therefore she says that 1/4 = 3/6. How could you explain to Margret that she is wrong?

Answer 1

1. 15/50 = 3/10
In order for 15 to become 3, it needs to be divided by 5. So you do the same thing to the denominator (50/5= 10)

2. When you plus or minus something from a number, the number does change. (E.g. 2+1= 3) So 1/4 added to 2/2 will give a different value from 1/4.
However when a number is multiply or divided by value of 1, it stays the same. 1 can be equal to 2/2, 3/3, 4/4, 0.1/0.1, and so on.
So example: 1/4 * 2/2= 2/8 and therefore the value of a fraction only stays the same if you multiply or divide the same for numerator and denominator but not adding or subtracting from them. (I'm explaining to you as well as Margret since you can't do the first question.)

Answer 2

Okay. The answer to #1 is 15/50=3/10. You have to multiply 15 by x and 50 by 3, so you get 150=15x. 150/15=10, so x=10.

In number two, 'Margaret' went the wrong way about what she was trying to do. Essentially she's correct, but you have to MULTIPLY the numerator and denominator by the same thing and not add. So:

1/4 x 2/2 = 2/8
So 2/8 = 1/4.

Also, to add fractions together you have to get the same bottom number, so to add 1/4 to 2/2 you'd have to multiply 2/2 by 2/2 to get 4/4 and add it to 1/4:

1/4 + 2/2 (x 2/2)
1/4 + 4/4
5/4 = 1 1/4.

So you could simply explain to Margaret that where she added 1/4 + 2/2, she should have multiplied, and she would have gotten the correct answer.

Answer 3

1. 15/50 = (3 * 5)/(10 * 5) = 3/10

2. She has to multiply both numerator and denominator by the same number, not increase.

Answer 4

1. 15/50 = 3/x
(15/50)x = 3
x = 3/(15/50)
x = 10

2. 1/4 = .25
3/6 = .5

it only works when multiplying the numerator and demoninator by the same number:

1/4 --> 2/8

1/4 = .25
2/8 = .25

Answer 5

1) 15 / 50 = 3 / x

.......Cross multiply........

.......15 x = 50 ( 3 ).......

.......15 x = 150............

.......get the "x" on one side by itself
...... by dividing both sides by 15....

.......15 x / 15 = 150 / 15..................

.......15 divided by 15 equals 1 so, that
.......makes it one times "x" which is "x"
....... -- AND --
.......on the other side of the equals sign
.......150 divided by 15 is 10 so..............

.......x = 10

Let's check: 15/50=3/10
.......reduce 15/50 to lowest terms
.......by dividing the numerator and
.......denominator both by 5............
....... -- SO --
.......(15 / 5 ) / ( 50 / 5 ) becomes.
.......( 3 ) / ( 10 ) ...............................
.......and the last time I checked.....
.......3 / 10 = 3 / 10...........................

I think this one checks out to be OK.

****************************************
****************************************
2) Let's see if we can prove her right.
......1 / 4 = 3 / 6........................................

......place both sides in equal terms......

......multiply 1/4 by one............................

......1.5 divided by 1.5 equals one..right?...yep!

......( 1 / 4 ) x ( 1.5 / 1/5 )..........................

......( 1 x 1.5 ) / ( 4 x 1.5 ) = 1.5 / 6...right?...yep!

......Now, she is saying that....................
......1.5 / 6 equals 3 / 6...right?.............
......I don't see it! Do you?.....................

......Wanna try it another way?...............
......1/4 = 3/6............................................

......equal terms again.............................
......take 3/6 and multiply both the .........
......numerator and the denoninator by 2/3

......( 3 x 2/3 ) / ( 6 x 2/3 )...............
......( 3/1 x 2/3 ) / ( 6/1 x 2/3 )
......[ ( 3 x 2 ) / ( 1 x 3 ) ] / [ ( 6 x 2 ) / ( 1 x 3 ) ]
......[ ( 6 / 3 ) / 3 ] / [ 12 / 3 ]...........
......( 2/3 ) / 4.....or 0.667 / 4..........
...... -- SO --
......1 / 4 = 0.667 / 4........................
......Hmmmm. Still not seeing it. You?

The best way to explain this may be for each of you to place 6 of your own one dollar bills on a table. Now, you got 12 bucks there. Let her pick up 1/4 of them. There should be 9 left. Tell her that according to what she says that 6/6 added to 3/6 equals 9/12. Right? And therefore, by her logic 1/4 equals 9/12. Pick up your share, 9/12 and put it in your pocket. If she still doesn't understand, do it again. Repeat until she begins to catch on or until she runs out of money. Send me 9/12 of what you collected and since it's only 1/4 of your total, you'll still be ahead of the game. I'll send you a bill.

Answer 6

1. 3/10 ( devide both numbers by 5
2. if you devide 1 by 4 you would get 025 and 3/6= .50 and it doesnt have the same ratio

Answer 7

a million.) You upload at the same time the costs of the books and divide by technique of the style of books Will offered. So 32+40 5+39= Then divide the answer by technique of three. 2.) What are you searching for in this problem? in case you want the overall type of runs for each team, you ought to upload the runs and divide by technique of the style of video games. team a million= 5+4+0= Divide the answer by technique of three. team 2= 6+a million+3= Divide the answer by technique of three. in case you want the overall volume of runs for both communities, upload 5+4+0+6+a million+3 and divide the answer by technique of 6.