SOLUTION: Four buttons have diameters of 5/8, 3/4, 9/16 and 7/8 inches. Which button is smallest? a) 9/16 b) 7/8 c) 3/4 d) 5/8 Thank you for your help.

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: Four buttons have diameters of 5/8, 3/4, 9/16 and 7/8 inches. Which button is smallest? a) 9/16 b) 7/8 c) 3/4 d) 5/8 Thank you for your help.      Log On


   

Question 117801: Four buttons have diameters of 5/8, 3/4, 9/16 and 7/8 inches. Which button is smallest?
a) 9/16 b) 7/8 c) 3/4 d) 5/8
Thank you for your help.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
First multiply 5%2F8 by 2%2F2 to get 10%2F16.


Now multiply 3%2F4 by 4%2F4 to get 12%2F16.



Now multiply 7%2F8 by 2%2F2 to get 14%2F16.


So the fractions 5%2F8, 3%2F4, 9%2F16 and 7%2F8 become:


10%2F16, 12%2F16, 9%2F16, and 14%2F16


Since the denominators are the same, we can now compare the numerators. Since 9%2F16 has the smallest numerator, the fraction 9%2F16 is the smallest of the group.


So the answer is A)