Question

Jenny compares the lengths of two pencils.

The longer pencil is 6 1/2 inches in length.
The shorter pencil is 4 1/3 inches in length.
What is the ratio of the longer length to the shorter length?

A
0.67 : 1

B
1.1 : 1

C
1.5 : 1

D
2.17 : 1

Answer 1

Answer: C. 1.5 : 1

Explanation:

First, convert both numbers to improper fractions.

6 1/2 converts to 13/2

4 1/3 converts to 13/3

Then, find a common denominator.

The LCM is 6. Now multiply the numerators.

13/2 * 3/3 = 39/6

13/3 * 2/2 = 26/6

Now, divide the two.

39/6 / 26/6 = 1.5.

Because the shorter pencil is the base length, the second part of the ratio is 1.

The ratio of the larger pencil to the shorter pencil is 1.5 : 1.

Answer 2

the answer is C: 1.5-1.

you can divide 6.5 by 4.33 to get the answer of 1.5, which is the ratio. from there, you can determine that the longer pencil is 1.5 times as big as the shorter pencil. so, the ration would be 1.5:1