8 5/8 as a Decimal

Answer

8 5/8 in decimals can be written as 8.625. It is a terminating decimal, meaning it does not repeat infinitely.

Explanation

To convert 8 5/8 to a decimal, we will use division for the fractional part. Here’s the step-by-step breakdown of the process:

Step 1: Convert the mixed number to an improper fraction. Multiply the whole number (8) by the denominator (8) and add the numerator (5). This gives us 69/8.

Step 2: Divide the numerator (69) by the denominator (8).

Step 3: 69 divided by 8 equals 8 with a remainder of 5.

Step 4: To handle the remainder, add a decimal point and zero, making it 50.

Step 5: Divide 50 by 8, which is 6 with a remainder of 2.

Step 6: Add another zero, making it 20. Divide 20 by 8, which gives 2 with a remainder of 4.

Step 7: Add another zero, making it 40. Divide 40 by 8, which gives 5 with no remainder.

The decimal representation of 8 5/8 is 8.625.

• 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.