Feb 24, 2014 Thread starter #1 J jaytheseer New member Jan 28, 2014 14 Mr. Gates owns 3/8 of Macrohard. After selling 1/3 of his share, how much more of Macrohard does Mr. Gates still own?
Mr. Gates owns 3/8 of Macrohard. After selling 1/3 of his share, how much more of Macrohard does Mr. Gates still own?
Feb 24, 2014 Admin #2 M MarkFL Administrator Staff member Feb 24, 2012 13,775 Yes, I would view the subtraction in the form: If Mr. Gates sold 1/3 of his share, how much of his share does he have left? What portion of Macrohard is Mr. Gates' remaining share?
Yes, I would view the subtraction in the form: If Mr. Gates sold 1/3 of his share, how much of his share does he have left? What portion of Macrohard is Mr. Gates' remaining share?
Feb 24, 2014 Thread starter #3 J jaytheseer New member Jan 28, 2014 14 My solution so far: 3/8 = 9/24 and 1/3 = 8/24 9/24 - 8/24 = 1/24 But my book says a totally different thing which confuses me: 3/8 x 1/3 = 1/8.3/8 - 1/8 = 2/8 =1/4 Please help!
My solution so far: 3/8 = 9/24 and 1/3 = 8/24 9/24 - 8/24 = 1/24 But my book says a totally different thing which confuses me: 3/8 x 1/3 = 1/8.3/8 - 1/8 = 2/8 =1/4 Please help!
Feb 24, 2014 #4 Deveno Well-known member MHB Math Scholar Feb 15, 2012 1,967 Mr. Gates owns 3/8 of Macrohard. This means that for every 8 shares of Macrohard out there, he owns 3 of them. 1/3 of 3, is of course, 1. So if he sells 1/3 of his shares, he now only owns 2 shares out of every 8, which is 2/8 = 1/4. When we take a fraction OF something, it means: "multiply". So 1/3 OF 3/8 means: MULTIPLY (1/3)*(3/8), from which we get: (1/3)*(3/8) = 1/8 <---how much he sold. If we want to know how much he has LEFT, then we SUBTRACT, so: 3/8 - 1/8 = ...?
Mr. Gates owns 3/8 of Macrohard. This means that for every 8 shares of Macrohard out there, he owns 3 of them. 1/3 of 3, is of course, 1. So if he sells 1/3 of his shares, he now only owns 2 shares out of every 8, which is 2/8 = 1/4. When we take a fraction OF something, it means: "multiply". So 1/3 OF 3/8 means: MULTIPLY (1/3)*(3/8), from which we get: (1/3)*(3/8) = 1/8 <---how much he sold. If we want to know how much he has LEFT, then we SUBTRACT, so: 3/8 - 1/8 = ...?
Feb 24, 2014 Admin #5 M MarkFL Administrator Staff member Feb 24, 2012 13,775 The way I look at it he has 2/3 of his shares left after selling 1/3. So the portion of Macrohard he still owns is: \(\displaystyle \frac{2}{3}\cdot\frac{3}{8}=\frac{1}{4}\)
The way I look at it he has 2/3 of his shares left after selling 1/3. So the portion of Macrohard he still owns is: \(\displaystyle \frac{2}{3}\cdot\frac{3}{8}=\frac{1}{4}\)
Feb 24, 2014 #6 P Prove It Well-known member MHB Math Helper Jan 26, 2012 1,472 The OP is not realising that it is not 1/3 of the block which is being sold, but 1/3 of HIS PART of the block. So 1/3 of 3/8 = 1/3 x 3/8 = 1/8. So what Mr Gates still owns is what's left after 1/8 of the entire block is removed from his 3/8 of the block, so 3/8 - 1/8 = 2/8 = 1/4.
The OP is not realising that it is not 1/3 of the block which is being sold, but 1/3 of HIS PART of the block. So 1/3 of 3/8 = 1/3 x 3/8 = 1/8. So what Mr Gates still owns is what's left after 1/8 of the entire block is removed from his 3/8 of the block, so 3/8 - 1/8 = 2/8 = 1/4.
Feb 25, 2014 Thread starter #7 J jaytheseer New member Jan 28, 2014 14 3/8 - 1/8 = ...? =2/8 =1/4 Very clear and simple to understand. Thank you!