1.03703703704 as a Fraction

Answer

The answer for 1.03703703704 as a fraction will be 28/27.

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, 1.03703703704 is the number on the numerator and the base number 1 will be the denominator. Then, 1.03703703704 becomes 1.03703703704/1.

Step 2: Recognize that 0.03703703704 is a repeating decimal part. Let's denote x = 0.03703703704. The repeating part is "037". Multiply x by 1000 to shift the repeating part: 1000x = 37.03703703704

Step 3: Subtract the original x from this equation: 1000x - x = 37.03703703704 - 0.03703703704 999x = 37

Step 4: Solve for x: x = 37/999

Step 5: Combine with the whole part 1: 1 + 37/999 = 999/999 + 37/999 = 1036/999

Step 6: Simplify the fraction 1036/999 by finding the GCD (which is 37): 1036/999 = 28/27

Thus, 1.03703703704 can be written as a fraction 28/27.

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