Missing Details:
Write each fraction in the correct box.
1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Less than: 1/2inch,
Equal to: 1/2inch
Greater than: 1/2inch
Answer:
Less than: 1/2inch---> 1/8 in
Equal to: 1/2inch ---> 8/16 in
Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in
Step-by-step explanation:
Given
Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in
Required
Match the size with the correct inequalities
Convert 1/2in to decimal
![\frac{1}{2}\ in = 0.5\ in](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5C%20in%20%3D%200.5%5C%20in)
Next, we convert each size to decimal and compare the decimal equivalent to 0.5in
Convert 1/8in to decimal
![\frac{1}{8}\ in = 0.125\ in](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%7D%5C%20in%20%3D%200.125%5C%20in)
<em>0.125 is less than 0.5in</em>
Convert 5/8in to decimal
![\frac{5}{8}\ in = 0.625\ in](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B8%7D%5C%20in%20%3D%200.625%5C%20in)
<em>0.625 is greater than 0.5in</em>
Convert 8/16in to decimal
![\frac{8}{16}\ in = 0.5\ in](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B16%7D%5C%20in%20%3D%200.5%5C%20in)
<em>0.5 is equal to 0.5in</em>
Convert 9/16in to decimal
![\frac{9}{16}\ in = 0.5625\ in](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B16%7D%5C%20in%20%3D%200.5625%5C%20in)
<em>0.5625 is greater than 0.5in</em>
Convert 15/16in to decimal
![\frac{15}{16}\ in = 0.9375\ in](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B16%7D%5C%20in%20%3D%200.9375%5C%20in)
<em>0.9375 is greater than 0.5in</em>
Convert 5/6in to decimal
![\frac{5}{6}\ in = 0.833\ in](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B6%7D%5C%20in%20%3D%200.833%5C%20in)
<em>0.833 is greater than 0.5in</em>
So, we have:
<em>Less than: 1/2inch---> 1/8 in</em>
<em>Equal to: 1/2inch ---> 8/16 in</em>
<em>Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in</em>