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.