Question

Mr. Granville needs some plywood that is about three over four-inch thick. Which plywood is closest to three over four-inch thick?

A
Image of plywood A D X . . . that is . . . begin fraction . . . thirteen over sixteen . . . end fraction . . . inches thick

B
Image of plywood C D X . . . that is . . . begin fraction . . . eleven over thirty two . . . end fraction . . . inches thick

C
Image of plywood A B X . . . that is . . . begin fraction . . . one over two . . . end fraction . . . inches thick

D
Image of plywood C R X . . . that is . . . begin fraction . . . three over eight . . . end fraction . . . inches thick

Answer 1

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick

Explanation:

we have

3/4 in

Verify each value

case A) 13/16 in

we know that

3/4 in=12/16 in ----> multiply by (4/4)

Find the difference

13/16-12/16=1/16 in

case B) 11/32 in

we know that

3/4 in=24/32 in ----> multiply by (8/8)

Find the difference

24/32-11/32==13/32 in

case C) 1/2 in

we know that

1/2 in=2/4 in ----> multiply by (2/2)

Find the difference

3/4-2/4=1/4 in

case D) 3/8 in

we know that

3/4 in=6/8 in ----> multiply by (2/2)

Find the difference

6/8-3/8=3/8 in

Compare the values of the difference and find the less value

we have

case A) 1/16=2/32 in

case B) 13/32 in

case C) 1/4=8/32 in

case D) 3/8=12/32 in

The less value is case A) 2/32 in

therefore

The plywood that is closest to three over four-inch thick is thirteen over sixteen inches thick