Question

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

Answer 1

Answer: 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

$\frac{1}{8}\ inch$

Size of second button is given by

$\frac{3}{8}\ inch$

Size of third button is given by

$\frac{1}{4}\ inch$

The size of hole of the shirt is given by

$\frac{2}{6}\ inch=\frac{1}{3}\ inch$

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

$\frac{1}{8}\ inch=\frac{1\times 3}{8\times 3}=\frac{3}{24}\ inch$

Similarly, Size of second button is given by

$\frac{3}{8}\ inch=\frac{3\times 3}{8\times 3}=\frac{9}{24}\ inch$

Similarly, Size of third button is given by

$\frac{1}{4}\ inch=\frac{1\times 6}{4\times 6}=\frac{6}{24}\ inch$

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

$\frac{1}{3}\ inch=\frac{1\times 8}{3\times 8}=\frac{8}{24}$

As we can see that

$\frac{3}{24}$

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