4.33333 as a Fraction

Answer

The answer for 4.33333 as a fraction is 13/3.

Explanation

Converting a decimal to a fraction is a task that students can easily accomplish by following a few steps.

Step 1: Identify the repeating part of the decimal. Here, 4.33333 has a repeating decimal of 3.

Step 2: Let x = 4.33333...

Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 43.33333...

Step 4: Subtract the original equation (x = 4.33333...) from this new equation (10x = 43.33333...): 10x - x = 43.33333... - 4.33333... This simplifies to: 9x = 39

Step 5: Solve for x by dividing both sides by 9: x = 39/9

Step 6: Simplify the fraction by finding the greatest common divisor (GCD) of 39 and 9, which is 3: 39/9 = 13/3

Thus, 4.33333 can be written as the fraction 13/3.

• Fraction: A numerical quantity that is not a whole number, representing parts of a whole.

• 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.

• Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without a remainder.