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.

• 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.