8 3/4% as a Decimal

Answer

8 3/4% as a decimal can be written as 0.0875. It is a terminating decimal, which means it does not repeat infinitely.

Explanation

To convert 8 3/4% to a decimal, we first need to convert the percentage to a fraction and then to a decimal. Let's see the step-by-step breakdown of the process:

Step 1: Convert 8 3/4% to a fraction. This is done by writing it as 8 + 3/4 percent, which equals 35/4 percent.

Step 2: Convert the percentage to a fraction over 100. Since we have 35/4 percent, we write it as (35/4) / 100.

Step 3: Simplify the fraction (35/4) / 100 by multiplying the numerator by 1/100, which gives us 35/400.

Step 4: Divide 35 by 400 to get the decimal equivalent.

Step 5: Performing the division, 35 divided by 400 equals 0.0875.

The answer for 8 3/4% as a decimal is 0.0875.

• Percentage: A numerical expression representing a fraction of 100.

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

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

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

• Simplification: The process of reducing a fraction to its simplest form.