Table Of Contents
109 LearnersLast updated on March 11th, 2025
8 3/8 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), which represents how many parts out of the whole, and the denominator (number below), which shows how many parts make the whole. 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 8 3/8 as a decimal?
Answer
8 3/8 in decimal form can be written as 8.375. This is a terminating decimal.
Explanation
To convert 8 3/8 to a decimal, we first convert the fractional part 3/8 to a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and the denominator. Here, the numerator (3) will be taken as the dividend, and the denominator (8) will be taken as the divisor.
Step 2: Divide 3 by 8. Since 3 is smaller than 8, we will place a decimal point and add a zero to make 30.
Step 3: Divide 30 by 8, which goes 3 times, since 8 × 3 = 24. Write 3 in the quotient.
Step 4: Subtract 24 from 30, which gives 6. Bring down another 0 to make it 60.
Step 5: Divide 60 by 8, which goes 7 times, since 8 × 7 = 56. Write 7 in the quotient.
Step 6: Subtract 56 from 60, which gives 4. Bring down another 0 to make it 40.
Step 7: Divide 40 by 8, which goes 5 times, since 8 × 5 = 40. Write 5 in the quotient. The division process ends here with a remainder of 0, so 3/8 is 0.375. Combine it with the whole number: 8 + 0.375 = 8.375.
So, the answer for 8 3/8 as a decimal is 8.375.
Important Glossaries for 8 3/8 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 and does not repeat infinitely.
