1.3333333333333 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 1.3333333333333, we are going to learn how to convert a decimal to a fraction.

What is 1.3333333333333 as a Fraction?

$1.3333333333333 as a fraction$

Answer

The answer for 1.3333333333333 as a fraction will be 4/3.

Explanation

Converting a repeating decimal to a fraction can be done through a series of steps. You can follow the steps mentioned below to find the answer.

Step 1: Let x be the repeating decimal 1.3333333333333. That means x = 1.3333333333333…

Step 2: Multiply x by 10 to move the decimal point one place to the right. This gives us 10x = 13.3333333333333…

Step 3: Subtract the original x from this new equation: 10x - x = 13.3333333333333… - 1.3333333333333… This simplifies to 9x = 12

Step 4: Solve for x by dividing both sides by 9: x = 12/9

Step 5: Simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 3: 12/9 = 4/3

Thus, 1.3333333333333 can be written as the fraction 4/3.

Important Glossaries for 1.3333333333333 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 that has one or more repeating numbers after the decimal point 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.