0.92592592592 as a Fraction

Answer

The answer for 0.92592592592 as a fraction will be 25/27.

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 fraction for easy calculation. Here, 0.92592592592 is the number on the numerator and the base number 1 will be the denominator. Then, 0.92592592592 becomes 0.92592592592/1.

Step 2: Since the decimal is repeating, identify the repeating part, which is 925925. Let x = 0.92592592592...

Step 3: Multiply the equation by 1000000 (since the repeating part is 6 digits long) to shift the decimal point: 1000000x = 925925.92592592...

Step 4: Subtract the original x from this equation: 1000000x - x = 925925.92592592... - 0.92592592592...

Step 5: This results in: 999999x = 925925

Step 6: Solve for x: x = 925925/999999

Step 7: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 37037: 925925 ÷ 37037 = 25 999999 ÷ 37037 = 27

Thus, x = 25/27, so 0.92592592592 can be written as a fraction 25/27.

• 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.