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114 LearnersLast updated on March 5th, 2025
3 5/12 as a decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions, mixed numbers, and decimals. A fraction represents a part from the whole and has two parts: the numerator (number on the top) and the denominator (number below). A mixed number contains a whole number and a fraction. 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 5/12 as a decimal?
Answer
3 5/12 as a decimal can be written as 3.4166... It is a recurring decimal, showing that the digits repeat infinitely.
Explanation
To convert 3 5/12 into a decimal, we will first convert the fraction 5/12 into a decimal and then add it to the whole number 3. Let's go through the step-by-step process:
Step 1: Identify the whole number (3) and the fraction (5/12).
Step 2: Convert the fraction 5/12 into a decimal using division.
Step 3: Divide the numerator (5) by the denominator (12) to get the decimal.
Step 4: 5 divided by 12 is approximately 0.41666...
Step 5: Add this decimal to the whole number 3 to get the final decimal value: 3 + 0.41666... = 3.41666...
The answer for 3 5/12 as a decimal is 3.41666...
Important Glossaries for 3 5/12 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.
- Mixed Number: A number that consists of a whole number and a fraction combined.
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