0.70710678118 as a Fraction

Answer

The answer for 0.70710678118 as a fraction will be 70710678118/100000000000.

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, 0.70710678118 is the number in the numerator and the base number 1 will be the denominator. Then, 0.70710678118 becomes 0.70710678118/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 100000000000 (because there are 11 decimal places). 0.70710678118/1 × 100000000000/100000000000 = 70710678118/100000000000

Step 3: Here, the GCD of 70710678118 and 100000000000 is 2. Now, to make the fraction simpler, divide the numerator and denominator by 2. 70710678118/100000000000 = 35355339059/50000000000

Thus, 0.70710678118 can be written approximately as the fraction 35355339059/50000000000.

• 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.
   
• Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without leaving a remainder.