Around the fraction or mixed number to the nearest 1/2
To round a fraction or mixed number to the nearest 1/2, you need to determine whether the fraction is closer to the lower or higher 1/2 value and then adjust accordingly. Here's the step-by-step process:
Step 1: Identify the whole number and fractional part of the mixed number (if applicable). Make sure the fractional part is in its simplest form. For example, consider the mixed number 3 5/8.
Step 2: Determine which 1/2 value the fractional part is closer to. You can do this by comparing the numerator of the fraction to the numerator of both 1/2 values. In our example, the numerator of 5/8 is closer to 4 (the numerator of 1/2) than it is to 6 (the numerator of 1). Therefore, it is closer to 1/2.
Step 3: Round the fractional part to 1/2 by changing the numerator to match the 1/2 value it is closer to. In our example, the numerator of 5/8 would change to 4/8.
Step 4: If necessary, carry over the whole number value. In our example, the whole number would remain 3.
Step 5: Combine the whole number and the rounded fractional part to get the rounded mixed number. In our example, the rounded mixed number would be 3 1/2.
So, if you were asked to round the fraction 5/8 to the nearest 1/2, your answer would be 1/2. If you were asked to round the mixed number 3 5/8 to the nearest 1/2, your answer would be 3 1/2.