0.428571429 as a Fraction

Answer

The answer for 0.428571429 as a fraction will be 3/7.

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, any decimal number should be converted to a fraction for easy calculation. Here, 0.428571429 is the number on the numerator and the base number 1 will be the denominator. Then, 0.428571429 becomes 0.428571429/1.

Step 2: As 0.428571429 is a repeating decimal, we need to express it in fractional form by recognizing the repeating sequence. The repeating sequence here is '428571', which repeats indefinitely.

Step 3: To express 0.428571429 as a fraction, we can set x = 0.428571429. Multiplying by 10^7 (because the repeating sequence length is 7), we get 10,000,000x = 4285714.28571429... Subtracting the original equation (x = 0.428571429) from this, we get 9999999x = 4285714 - 0.4285714, which simplifies to 9999999x = 4285714.

Step 4: Solving for x, we get x = 4285714/9999999, which simplifies to the fraction 3/7.

Thus, 0.428571429 can be written as a fraction 3/7.

• 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 fraction in which a figure or group of figures is repeated indefinitely.
   
• 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.