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110 LearnersLast updated on March 2nd, 2025
3 1/3 as a Decimal
This is a straightforward question about converting a mixed number into a decimal. First, we need to understand mixed numbers and decimals. A mixed number includes a whole number and a fraction. In this case, '3' is the whole number, and '1/3' is the fractional part. A decimal represents a non-whole number using a decimal point (.) to separate the whole number part from the fractional part. The numbers to the left of the decimal point represent the whole number, and those to the right represent the fractional part.
What is 3 1/3 as a decimal?
Answer
3 1/3 in decimal form can be written as 3.3333... It is a recurring decimal, indicating that the digit '3' repeats infinitely.
Explanation
To convert 3 1/3 into a decimal, we'll first convert the fractional part, 1/3, into a decimal.
Step 1: Identify the numerator and denominator. Here, the numerator (1) is the dividend, and the denominator (3) is the divisor.
Step 2: Since 1 is smaller than 3, we use the decimal method. Add a decimal point in the quotient and make 1 as 10 by adding 0.
Step 3: Divide 10 by 3. 3 goes into 10 three times (3 × 3 = 9), leaving a remainder of 1.
Step 4: Bring down another 0 to make it 10 again, and repeat the division process.
Step 5: This process continues, resulting in a recurring decimal of 0.3333... Now, add the whole number '3' to the decimal part,
resulting in 3.3333...
Important Glossaries for 3 1/3 as a decimal
- Mixed Number: A number consisting of a whole number and a fraction.
- Fraction: A numerical quantity representing part of a whole, with a numerator and a denominator.
- Decimal: A number in the base ten system, using 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 considered.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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