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116 LearnersLast updated on March 2nd, 2025
4 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 a whole. It has two parts: the numerator (number on the top) here, 3, 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 (.) 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 those to the right represent the fractional part.
What is 4 3/8 as a decimal?
Answer
4 3/8 in decimal form can be written as 4.375. It is a terminating decimal, meaning it does not repeat infinitely.
Explanation
To convert 4 3/8 into a decimal, we will use the division method for the fractional part. Let's see the step-by-step breakdown of the process:
Step 1: Convert the mixed number to an improper fraction. The whole number 4 will be multiplied by the denominator 8 and added to the numerator 3. This gives us (4 × 8) + 3 = 35, so we have 35/8.
Step 2: Divide 35 by 8. Since 35 is greater than 8, we can proceed directly with division.
Step 3: Divide 35 by 8. The result is 4 with a remainder, giving us a quotient of 4.375 when expressed in decimal form.
Step 4: The division process terminates, and we do not get a remainder, indicating a terminating decimal.
The answer for 4 3/8 as a decimal will be 4.375.
Important Glossaries for 4 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.
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