4 3/8 as a Decimal

Answer

4 3/8 in decimal form can be written as 4.375. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 4 3/8 into a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. The whole number 4 will be multiplied by the denominator 8 and added to the numerator 3. This gives us (4 × 8) + 3 = 35, so we have 35/8.

Step 2: Divide 35 by 8. Since 35 is greater than 8, we can proceed directly with division.

Step 3: Divide 35 by 8. The result is 4 with a remainder, giving us a quotient of 4.375 when expressed in decimal form.

Step 4: The division process terminates, and we do not get a remainder, indicating a terminating decimal.

The answer for 4 3/8 as a decimal will be 4.375.

• 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.