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118 LearnersLast updated on March 3rd, 2025
9 1/8 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part from the whole. It has two parts: numerator (number on the top) here, 1 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 8. A decimal is a way to represent the number that is not whole, using a (.) or a decimal to separate the whole part from the fraction part. The numbers to the left of the decimal point represent the whole, and that to the right represents the fractional part.
What is 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.
Important Glossaries for 9 1/8 as a decimal
- 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.
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