# math

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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

• math -

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.

• math -

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?

• math -

9/16 = 9/16

• math -

Right. The smallest button is 9/16 inch.

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