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102 LearnersLast updated on March 15th, 2025
15 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: the numerator (the 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 a number that is not whole, using a decimal point (.) to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 15 1/8 as a decimal?
Answer
15 1/8 in decimals can be written as 15.125. This is a terminating decimal, meaning it ends after a finite number of digits.
Explanation
To get 15 1/8 in decimal, we will use the division method for the fractional part and add it to the whole number. Here's a step-by-step breakdown of the process:
Step 1: Identify the whole number and the fraction. The whole number is 15, and the fraction is 1/8.
Step 2: Convert the fraction 1/8 into a decimal. The numerator (1) will be taken as the dividend, and the denominator (8) will be taken as the divisor.
Step 3: Divide 1 by 8. Since 1 is smaller than 8, we add a decimal point and a 0 to make it 10.
Step 4: Divide 10 by 8. The result is 1 with a remainder of 2. Write 1 in the quotient place.
Step 5: Bring down another 0 to make it 20. Divide 20 by 8. The result is 2 with a remainder of 4.
Step 6: Bring down another 0 to make it 40. Divide 40 by 8. The result is 5 with no remainder.
Step 7: The decimal equivalent of 1/8 is 0.125.
Step 8: Add the decimal to the whole number: 15 + 0.125 = 15.125.
The answer for 15 1/8 as a decimal is 15.125.
Important Glossaries for 15 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.
- 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 after a finite number of digits and does not repeat infinitely.
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