28 3/4 as a Decimal

Answer

28 3/4 in decimals can be written as 28.75. It is a terminating decimal, meaning the decimal representation ends.

Explanation

To convert 28 3/4 to a decimal, we will use the division method for the fractional part. Here, as 3 is smaller than 4, we perform the following steps:

Step 1: Identify the whole number and the fraction. The whole number is 28 and the fraction is 3/4.

Step 2: Divide the numerator (3) by the denominator (4) to convert the fraction to a decimal.

Step 3: 3 divided by 4 gives 0.75.

Step 4: Combine the whole number with the decimal fraction. Add 0.75 to the whole number 28.

Step 5: The result is 28.75. This process shows that the decimal representation of 28 3/4 is 28.75.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.

• Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.

• Denominator: The bottom part of a fraction, showing how many parts make up a whole.

• Terminating Decimal: A decimal that ends and does not repeat infinitely.