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

 C. 1.5 : 1

Step-by-step 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.

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