9 1/8 as a Decimal

Answer

9 1/8 in decimals can be written as 9.125. It is a terminating decimal.

Explanation

To convert 9 1/8 into a decimal, we will first convert the fraction 1/8 into a decimal and then add it to the whole number 9. Let's see the step-by-step breakdown of the process:

Step 1: Identify the fraction part, which is 1/8. Here, 1 is the numerator, and 8 is the denominator.

Step 2: Use division to convert 1/8 into a decimal.

Step 3: Divide 1 by 8. Since 1 is smaller than 8, we will add a decimal point and a zero to make it 10.

Step 4: 8 goes into 10 once (8 x 1 = 8). Record 1 in the quotient place, subtract 8 from 10 to get 2.

Step 5: Bring down another 0 to make it 20. Divide 20 by 8, which goes 2 times (8 x 2 = 16). Write 2 in the quotient and subtract to get 4.

Step 6: Bring down another 0 to make it 40. Divide 40 by 8, which goes 5 times (8 x 5 = 40). Subtract to get 0, which ends the division process.

Step 7: Combine the whole number 9 with the decimal 0.125

To get the final answer: 9.125.

• 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.

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

• 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.