0.037037037037 as a Fraction

Answer

The answer for 0.037037037037 as a fraction is 1/27.

Explanation

Converting a decimal to a fraction is a task that students can do 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, 0.037037037037 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.037037037037 becomes 0.037037037037/1.

Step 2: To convert a repeating decimal to a fraction, recognize the repeating part. In this case, the repeating part is "037". Let x = 0.037037037037...

Step 3: Multiply x by 1000 (since "037" has 3 digits): 1000x = 37.037037037037...

Step 4: Subtract the original x from this equation: 1000x - x = 37.037037037037... - 0.037037037037... 999x = 37

Step 5: Solve for x: x = 37/999

Step 6: Simplify the fraction: 37/999 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 37: 37/999 = 1/27

Thus, 0.037037037037 can be written as the fraction 1/27.

• 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.

• Repeating Decimal: A decimal in which a digit or group 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.