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112 LearnersLast updated on March 3rd, 2025
1 1/3 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, 4 represents how many parts out of the whole. The denominator (number below) shows how many parts make the whole, here it is 3. A decimal is a way to represent the number that is not whole, using a (.) or a decimal 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 1 1/3 as a decimal?
Answer
1 1/3 in decimals can be written as 1.33333….. It is a recurring decimal, indicating it will repeat the same digit infinitely.
Explanation
To get 1 1/3 in decimal form, we first convert the mixed number to an improper fraction: (3 × 1) + 1 = 4/3. Then, we use the division method. Since 4 is larger than 3, we can divide directly to find the decimal. Let's see the step-by-step breakdown of the process:
Step 1: Identify the numerator and denominator because the numerator (4) will be taken as the dividend and the denominator (3) will be taken as the divisor.
Step 2: Divide 4 by 3. 3 goes into 4 once, giving us a quotient of 1 and a remainder of 1.
Step 3: To continue the division, add a decimal point and a 0 to the remainder, making it 10.
Step 4: Divide 10 by 3. 3 goes into 10 three times, giving us a quotient of 3 and a remainder of 1.
Step 5: Repeat the process by bringing down another 0, making it 10 again, and continue dividing. The division process continues, and we don't get a remainder of 0. This process results in a recurring decimal.
The answer for 1 1/3 as a decimal will be 1.3333……
Important Glossaries for 1 1/3 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.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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