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116 LearnersLast updated on March 6th, 2025
1.333333333 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 1.333333333, we are going to learn how to convert a decimal to a fraction.
What is 1.333333333 as a Fraction?
Answer
The answer for 1.333333333 as a fraction is 4/3.
Explanation
Converting a repeating decimal to a fraction can be straightforward. You can follow the steps mentioned below to find the answer.
Step 1: Let x be the repeating decimal number, i.e., x = 1.333333333...
Step 2: Multiply x by 10 to shift the decimal point one place to the right, giving us 10x = 13.333333333...
Step 3: Subtract the original x from this equation: 10x - x = 13.333333333... - 1.333333333...
Step 4: This simplifies to 9x = 12.
Step 5: Solve for x by dividing both sides by 9: x = 12/9
Step 6: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 12/9 = 4/3
Thus, 1.333333333 can be written as the fraction 4/3.
Important Glossaries for 1.333333333 as a Fraction
- 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.
- Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
- 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.
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