Four buttons have diameters of 5/8 3/4, 9/16, and 7/8 inches. Which button is smallest?
A) 7/8 B) 5/8 C) 3/4 D) 9/16
i wanna say the answer is 3/4
rewrite each with a common denominator of 16
5/8 = 10/16
3/4 = 12/16
9/16 = 9/16
7/8 = 14/16
Can you tell now?
or
change each fraction to a decimal by dividing top by bottom.
The way to decide this answer is to change all of these fractions so that they have the same denominator. In other words, find the least common multiple.
7/8 = 14/16
5/8 = 10/16
3/4 = 12/16
9/16 = 9/16
Which is the smallest numerator?
9/16 = 9/16
Right. The smallest button is 9/16 inch.
To determine which button is the smallest, we need to compare the diameters of the buttons given: 5/8, 3/4, 9/16, and 7/8 inches.
One way to do this is to convert all the fractions to a common denominator, making it easier to compare them:
5/8 = 30/48
3/4 = 36/48
9/16 = 27/48
7/8 = 42/48
Now that all the fractions have the same denominator, we can see that 27/48 (which represents 9/16) is the smallest fraction.
Therefore, the answer is D) 9/16.