4 9/16 as a Decimal

Answer

4 9/16 in decimal can be written as 4.5625. It is a terminating decimal.

Explanation

To convert 4 9/16 into a decimal, we first convert the fractional part to a decimal. Here's the step-by-step breakdown of the process:

Step 1: Identify the whole number and the fraction. The whole number is 4, and the fraction is 9/16.

Step 2: Convert the fraction 9/16 to a decimal by dividing the numerator by the denominator: (9 ÷ 16 = 0.5625).

Step 3: Combine the whole number with the decimal from the fraction: (4 + 0.5625 = 4.5625).

Thus, the decimal representation of 4 9/16 is 4.5625.

• 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.