3.28571428571 as a Fraction

Answer

The answer for 3.28571428571 as a fraction will be 23/7.

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, 3 is the whole number part, and 0.28571428571 is the decimal part.

Step 2: Recognize the repeating decimal. In 0.28571428571, the digits 285714 repeat. This is a repeating decimal.

Step 3: To convert the repeating decimal part to a fraction, use the formula for converting repeating decimals. Let x = 0.28571428571... Then, 1000000x = 285714.285714... Subtracting these gives 999999x = 285714, so x = 285714/999999.

Step 4: Simplify 285714/999999 by finding the GCD. The GCD is 142857, so 285714/999999 simplifies to 2/7.

Step 5: Add the whole number part back to the simplified fraction. Thus, the fraction becomes 3 + 2/7 = 23/7.

Thus, 3.28571428571 can be written as a fraction 23/7.

• 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 sequence 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.