4.333333333 as a Fraction

Answer

The answer for 4.333333333 as a fraction will be 13/3.

Explanation

Converting a repeating decimal to a fraction involves recognizing the repeating part and using algebraic methods. You can follow the steps mentioned below to find the answer.

Step 1: Let x = 4.333333333...

Step 2: Since the repeating part is 3, multiply both sides of the equation by 10 to shift the decimal point: 10x = 43.333333333...

Step 3: Subtract the original equation from this new equation: 10x - x = 43.333333333... - 4.333333333... 9x = 39

Step 4: Solve for x by dividing both sides by 9: x = 39/9 Step 5: Simplify the fraction 39/9 by dividing both the numerator and the denominator by their greatest common divisor, which is 3: 39/9 = 13/3

Thus, 4.333333333 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.

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