Rounding fractions with and without a number line is the goal of this mathematics lesson.

You are watching: Fractions closer to 1 than 0

Example #1

The length of a workdesk is about 60 5/8 inches. What is the length of the workdesk to the nearest inch?

SolutionLook at the portion part of 60 5/8 and decide if that is closer to 1 or closer come 0. The fraction part the 60 5/8 is 5/8. Is 5/8 closer come 0 or 1? Looking in ~ the number line above, we can see the 5/8 is closer come 1.

Therefore, come the nearest inch, the size of the desk is 61 inches.

Example #2

The depth the a three-seat sofa is around 32 1/8 inches. What is the depth that the three-seat sofa to the nearest 1/2 inch?

SolutionLook at the fraction part of 32 1/8 and decide if it is closer to 1/2 or closer come 0. The portion part that 32 1/8 is 1/8. Is 1/8 closer to 0 or 1/2? Looking at the number line above, we have the right to see the 1/8 is closer to 0.

Therefore, come the nearest 1/2 inch, the depth the the three-seat sofa is 32 inches.

## More examples showing exactly how rounding fountain work

For the following examples, we will certainly not usage the number line. Just look in ~ the fraction carefully before deciding i beg your pardon number the is closer to.

Example #3

The size of a math book is around 9 3/8 inches. What is the size of the math publication to the nearest 1/2 inch?

Solution3/8 is in between 0 and also 1/2. We require to identify if 3/8 is closer come 1/2 or closer come zero.

1/2 - 3/8 = 4/8 - 3/8 = 1/8

3/8 - 0 = 3/8

Since 1/8 is smaller than 3/8, 3/8 is closer to 1/2.

Since 3/8 is closer come 1/2, 3/8 rounded to the nearest 1/2 is 1/2. Therefore, 9 3/8 rounded come the nearest 1/2 is 9 1/2.

Example #4

The size of a vehicle is about 14 7/9 feet. What is the length of the car to the nearest 1/2 foot?

Solution7/9 is in between 1/2 and 1. We need to identify if 7/9 is closer come 1/2 or closer come 1.

1 - 7/9 = 9/9 - 7/9 = 2/9 = 4/18

7/9 - 1/2 = 14/18 - 9/18 = 5/18

Since 4/18 is smaller than 5/18, 7/9 is closer come 1.

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Since 7/9 is closer to 1, 7/9 rounded come the nearest 1/2 is 1. Therefore, 14 7/9 rounded to the nearest 1/2 is 15.