Round off 827/281 to the nearest hundredth

We need to round off the fraction 827/281 to the nearest hundredth.

Solution

Step 1: Convert the fraction to a decimal

First, we divide 827 by 281:

827 ÷ 281 = 2.9430604982206

Step 2: Identify the place value for rounding

We need to round to the nearest hundredth. This means we'll round to the second decimal place.

Step 3: Round the decimal

Rounding 2.9430604982206 to the nearest hundredth gives us 2.94.

Explanation: The digit in the hundredth place is 4. The next digit to the right is 3. Since this is less than 5, we keep the hundredth digit as is.

Answer

The fraction 827/281 rounded to the nearest hundredth is 2.94.

Additional Information

Rounding is a process of approximating a number to a certain place value. It's useful in many real-world situations where exact precision isn't necessary or practical.

When rounding to a specific place value:

• If the digit to the right is 5 or more, round up.
• If the digit to the right is 4 or less, round down.

Rounding can be applied to whole numbers, decimals, and fractions converted to decimals.

Calculations:

Types Of Round Off :

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