4 2/5 as a Decimal

Answer

4 2/5 in decimals can be written as 4.4. This is a terminating decimal and does not repeat.

Explanation

To convert 4 2/5 into a decimal, we will first convert the fraction part into decimal form and then add it to the whole number. Let's see the step-by-step breakdown of the process:

Step 1: Identify the whole number (4) and the fraction (2/5).

Step 2: Convert the fraction 2/5 into a decimal by dividing the numerator (2) by the denominator (5).

Step 3: Perform the division: 2 ÷ 5 = 0.4.

Step 4: Add the decimal result to the whole number: 4 + 0.4 = 4.4. Thus, the decimal representation of 4 2/5 is 4.4.

• 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.