Question

A mechanic has sockets with sizes shown below. Write each fraction in the correct box.​

Answer 1

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

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

`(1)/(2)\ in = 0.5\ in`

Next, we convert each size to decimal and compare the decimal equivalent to 0.5in

Convert 1/8in to decimal

`(1)/(8)\ in = 0.125\ in`

0.125 is less than 0.5in

Convert 5/8in to decimal

`(5)/(8)\ in = 0.625\ in`

0.625 is greater than 0.5in

Convert 8/16in to decimal

`(8)/(16)\ in = 0.5\ in`

0.5 is equal to 0.5in

Convert 9/16in to decimal

`(9)/(16)\ in = 0.5625\ in`

0.5625 is greater than 0.5in

Convert 15/16in to decimal

`(15)/(16)\ in = 0.9375\ in`

0.9375 is greater than 0.5in

Convert 5/6in to decimal

`(5)/(6)\ in = 0.833\ in`

0.833 is greater than 0.5in

So, we have:

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