4.33333333333 as a Fraction

Answer

The answer for 4.33333333333 as a fraction will be 13/3.

Explanation

Converting a decimal to a fraction is a task for students that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, separate the whole number part from the decimal part. Here, 4 is the whole number part, and 0.33333333333 is the repeating decimal part.

Step 2: To convert the repeating decimal 0.33333333333 to a fraction, set x = 0.33333333333. Multiply both sides by 10 to shift the decimal point: 10x = 3.33333333333.

Step 3: Subtract the original x from this equation: 10x - x = 3.33333333333 - 0.33333333333, which simplifies to 9x = 3.

Step 4: Solve for x: x = 3/9, which simplifies to 1/3.

Step 5: Combine the whole number part with the fraction: 4 + 1/3 = 12/3 + 1/3 = 13/3.

Thus, 4.33333333333 can be written as a fraction 13/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
   
• Repeating Decimal: A decimal that has one or more repeating digits after the decimal point.
   
• 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.
   
• Whole Number: A number without fractions; an integer.