Lola measures three buttons for a shirt she is making. one button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch. the button hole on the shirt is 2/6 inch. which of the buttons will fit through the button hole ? explain

The first and last button will fit through the button hole.

Step-by-step explanation:

since we have given that

Size of first button is given by

Size of second button is given by

Size of third button is given by

The size of hole of the shirt is given by

So, the size of button must be smaller than the size of hole in the shirt to get fit .

Since we first make the denominator same , as L.C.M. of all denominators i.e.(8,8,4,and 3) is 24

So, Size of first button is given by

Similarly, Size of second button is given by

Similarly, Size of third button is given by

And, The size of hole of the shirt is given by

As we can see that

Hence, the first and last button will fit through the button hole.

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