0.47619047619 as a Fraction

Answer

The answer for 0.47619047619 as a fraction is 10/21.

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, 0.47619047619 is the number on the numerator and the base number 1 will be the denominator. Then, 0.47619047619 becomes 0.47619047619/1.

Step 2: Since 0.47619047619 is a repeating decimal, we can express it as a fraction by recognizing its repeating part. Let x = 0.47619047619.

Step 3: Multiply x by 10^6 (since the repeating part '476190' has 6 digits) to shift the decimal: 1000000x = 476190.476190...

Step 4: Subtract the original x from this result: 1000000x - x = 476190.476190... - 0.476190...

Step 5: This simplifies to: 999999x = 476190

Step 6: Solve for x by dividing both sides by 999999: x = 476190/999999

Step 7: Simplify the fraction by finding the greatest common divisor (GCD) of 476190 and 999999, which is 47619: 476190/999999 = 10/21

Thus, 0.47619047619 can be written as a fraction 10/21.

• 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.

• 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.

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