0.7071067812 as a Fraction

Answer

The answer for 0.7071067812 as a fraction is approximately 7071067812/10000000000.

Explanation

Converting a decimal to a fraction involves a few steps that can be understood easily. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, any decimal number should be represented as a fraction for easy calculation. Here, 0.7071067812 is the number on the numerator and the base number 1 will be the denominator. Then, 0.7071067812 becomes 0.7071067812/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000000000 (because there are 10 decimal places). 0.7071067812/1 × 10000000000/10000000000 = 7071067812/10000000000

Step 3: The fraction 7071067812/10000000000 is already in its simplest form as these numbers do not have a common divisor other than 1.

Thus, 0.7071067812 can be written approximately as a fraction 7071067812/10000000000.

• 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.
   
• Non-Terminating Decimal: A decimal that continues infinitely without repeating.