4.333333 as a Fraction

Answer

The answer for 4.333333 as a fraction will be 13/3.

Explanation

Converting a repeating 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: Let x = 4.333333..., which is the decimal number we want to convert.

Step 2: Multiply by 10 to shift the decimal point: 10x = 43.333333...

Step 3: Subtract the original equation (x = 4.333333...) from this equation: 10x - x = 43.333333... - 4.333333... 9x = 39

Step 4: Solve for x by dividing both sides by 9: x = 39/9

Step 5: Simplify the fraction by finding the greatest common divisor (GCD) of 39 and 9, which is 3, and divide both the numerator and denominator by this number: 39/9 = 13/3

Thus, 4.333333 can be written as a fraction 13/3.

• 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.

• 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.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.