SOLUTION: Four buttons have diameters of 5/8 , 3/4 ,9/16 , and 7/8 inches. Which button is smallest? IS the smallest the one with the highest bottom number? 9/16?

Question 109183: Four buttons have diameters of 5/8 , 3/4 ,9/16 , and 7/8 inches. Which button is smallest?
IS the smallest the one with the highest bottom number? 9/16?
Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Four buttons have diameters of 5/8 , 3/4 ,9/16 , and 7/8 inches. Which button is smallest?
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Change the denominator of each of the fractions to 16:
5/8 = 10/16
3/4 = 12/16
9/16 = 9/16
7/8 = 14/16
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Now you can compare the numbers because they all
have the same denominators:
The smallest is 9/16
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Cheers,
Stan H.

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
To find the smallest fraction, simply get every fraction to have the same denominator. So that means we need to get every denominator to the LCD of 16

So let's multiply by to get

Now let's multiply by to get

Finally let's multiply by to get

So now we have the list

, , , and

Now just compare the numerators to see which one is the smallest.

So we can clearly see that 9 is the smallest numerator, so is the smallest fraction. So the answer is
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