2.37037037037 as a Fraction

Answer

The answer for 2.37037037037 as a fraction will be 64/27.

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 a fraction for easy calculation. Here, 2.37037037037 is the number on the numerator and the base number 1 will be the denominator. Then, 2.37037037037 becomes 2.37037037037/1.

Step 2: Recognize that 2.37037037037 is a repeating decimal (2.3̅7̅). To convert it into a fraction, let x = 2.37037037037...

Step 3: Multiply x by 100 (since the repeating part "37" has two digits) to shift the decimal point: 100x = 237.037037037...

Step 4: Subtract the original x from this equation:

100x - x = 237.037037037... - 2.37037037037...

99x = 234.66666667

Step 5: Solve for x: x = 234.66666667 / 99

x = 64/27

Thus, 2.37037037037 can be written as a fraction 64/27.

• 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 sequence of digits repeats infinitely.