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105 LearnersLast updated on March 13th, 2025
4 9/16 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 9 represents how many parts out of the whole, and denominator (number below) shows how many parts make the whole, here it is 16. 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 4 9/16 as a decimal?
Answer
4 9/16 in decimal can be written as 4.5625. It is a terminating decimal.
Explanation
To convert 4 9/16 into a decimal, we first convert the fractional part to a decimal. Here's the step-by-step breakdown of the process:
Step 1: Identify the whole number and the fraction. The whole number is 4, and the fraction is 9/16.
Step 2: Convert the fraction 9/16 to a decimal by dividing the numerator by the denominator: (9 ÷ 16 = 0.5625).
Step 3: Combine the whole number with the decimal from the fraction: (4 + 0.5625 = 4.5625).
Thus, the decimal representation of 4 9/16 is 4.5625.
Important Glossaries for 4 9/16 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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