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110 LearnersLast updated on March 11th, 2025
3 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 of the whole. It has two parts: the numerator (number on 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 3 9/16 as a decimal?
Answer:
3 9/16 in decimal form can be written as 3.5625. It is a terminating decimal.
Explanation:
To convert 3 9/16 to a decimal, we will first convert the fraction 9/16 into a decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (9) will be taken as the dividend, and the denominator (16) will be taken as the divisor.
Step 2: Divide 9 by 16. Since 9 is smaller than 16, we will add a decimal point in the quotient and consider additional decimal places.
Step 3: Perform the division: 9 divided by 16 is 0.5625.
Step 4: Add the whole number part (3) to the decimal result (0.5625).
The result for 3 9/16 as a decimal is 3.5625.
Important Glossaries for 3 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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