4.3333333 as a Fraction

Answer

The answer for 4.3333333 as a fraction will be 13/3.

Explanation

Converting a repeating decimal to a fraction involves some steps that can be done easily. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 4.3333333...

Step 2: Multiply the equation by 10 to shift the decimal point: 10x = 43.3333333...

Step 3: Subtract the original equation (x = 4.3333333...) from the new equation: 10x - x = 43.3333333... - 4.3333333...

Step 4: This results in 9x = 39.

Step 5: Solve for x: x = 39/9.

Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 39/9 = 13/3.

Thus, 4.3333333 can be written as the 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.

• Repeating Decimal: A decimal in which one or more digits repeat 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.