which is teh greatest measurement?

Question

which is the greatest:
53in.
4 5/7ft.
1/8ft.
1/8 yd.
explain

Answer 1

Convert everything to the same unit, then compare.

53 in = 53 in

4 5/7 ft = 4*12 + (5/7)*(12 in /1 ft) = 48 + 60/7 = 48 + 8 4/7= 56 4/7 in

1/8 ft ... well a foot is less than a yard, so we know this has to be less than 1/8 of yard, so let's skip this

1/8 yd * (36 in /1 yd) = 36/8 in = 4 1/2 in

So 4 5/7 ft is the longest measurement.

Answer 2

Easiest to put all in the same units, say inches.

4 5/7ft is 4x12 + 5/7 of a foot. Now 5/7 of a foot is at least 6 inches so this is at least 54 inches.

1/8 of a foot is less than a foot so less than 12 inches

1/8 yd is less than a yard so less than 36 inches

So without knowing exactly the measurement of each we still know that 54 inches is the greatest and so 4 5/7ft is the answer.

Answer 3

4 5/7 is the greatest length. It is 48 inches plus more than 6 inches more (5/7 of a foot is > 6 inches). The sum of these would be more than 53 inches. 1/8 of a foot is 1 1/2 inches and 1/8 of a yard is 4 1/2 inches.

Answer 4

Simply convert them all into the same units. There are 12 inches in a foot, and 3 feet (36 inches) in a yard.

So, first I'll do 4 5/7 feet. We can convert that into an improper fraction:
4 5/7 = (7x4)/7 + 5/7 = 33/7 feet

And then we can multiply by 12, the number of inches in a foot, to get the number of inches in 4 5/7 feet.

33/7 x 12 = 396/7 = 56.57 inches

You can do the same with 1/8 feet, I'll let you do that one.

The process is the same for 1/8 yd, but instead of multiplying by 12, multiply by the number of inches in a yard, 36.

Then pick out the biggest number of inches.

Answer 5

53in. = 53 in
4 5/7ft.= 56.57 in <-- This is the greatest measuement
1/8ft. = 1. 5 in
1/8 yd.= 36/8 = 4.5 in