There are three model cars with lengths of 1 7/8 in., 1 5/16 and 1 13/16 in. Which one can fit into a box that measures 1 3/8 in. in length?

2 Answers
Mar 13, 2018

The one that is 1 5/16

Explanation:

convert everything to an improper fraction with 16 as the denominator

The lengths of the cars

1 7/8= 15/8=30/16

1 5/16 =21/16

1 13/16= 29/16

The length of the box
1 3/8 =11/8 =22/16

So now it is just finding which car is shorter than the box. 21/16 is the only fraction here smaller than 22/16 so it has to be that one.

Mar 13, 2018

The car of length 1 5/16 will fit.

Explanation:

You can answer this one by inspection and a little bit of thinking,

The length of the box is just less than 1 1/2 inches (1 4/8)

Two of the cars have lengths more than 1 1/2 inches.

1 7/8 > 1 4/8 and 1 13/16 > 1 8/16

The only one which might fit is the one of 1 5/16 because it is less than 1 1/2 inches.

Convert to equivalent fractions with the same denominators to be able to compare the lengths.

1 3/8 = 1 6/16

The car of length 1 5/16 is shorter than 1 6/16, so this is the one that will fit.