1.333333333333 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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. 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, 1.333333333333, we are going to learn how to convert a repeating decimal to a fraction.

What is 1.333333333333 as a Fraction?

$1.333333333333 as a fraction$

Answer

The answer for 1.333333333333 as a fraction will be 4/3.

Explanation

Converting a repeating decimal to a fraction can be a straightforward process. You can follow the steps mentioned below to find the answer.

Step 1: Let x equal the repeating decimal: x = 1.333333333333...

Step 2: Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 13.333333333333...

Step 3: Subtract the original equation (x = 1.333333333333...) from this new equation: 10x - x = 13.333333333333... - 1.333333333333...

Step 4: This results in: 9x = 12

Step 5: Solve for x by dividing both sides by 9: x = 12/9

Step 6: Simplify the fraction by finding the GCD of 12 and 9, which is 3: 12/9 = 4/3

Thus, 1.333333333333 can be written as the fraction 4/3.

Important Glossaries for 1.333333333333 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Repeating Decimal: A decimal in which a pattern of one or more digits repeats infinitely.
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.
GCD (Greatest Common Divisor): The largest positive integer that divides the numbers without a remainder.