# Rounding fractions

Rounding fractions using a number line is the goal of this math lesson.

Example #1

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

Solution

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

Therefore, to the nearest inch, the length of the desk is 61 inches.

Example #2

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

Solution

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

Therefore, to the nearest inch, the depth of the three-seat sofa is 32 inches.

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