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114 LearnersLast updated on March 3rd, 2025
4 5/8 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) and the denominator (the number below). The mixed fraction 4 5/8 consists of the whole number 4 and the fractional part 5/8. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point 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 5/8 as a decimal?
Answer
4 5/8 as a decimal can be written as 4.625. This is a terminating decimal because it does not repeat infinitely.
Explanation
To convert 4 5/8 into a decimal, we will convert the fractional part 5/8 into a decimal and then add it to the whole number 4. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator of the fraction 5/8. Here, 5 is the numerator, and 8 is the denominator.
Step 2: Divide the numerator by the denominator to convert the fraction to a decimal.
Step 3: 5 divided by 8 gives 0.625.
Step 4: Add this decimal to the whole number 4.
Step 5: Therefore, 4 + 0.625 equals 4.625.
The answer for 4 5/8 as a decimal is 4.625.
Important Glossaries for 4 5/8 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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