0.7071 as a Fraction

Answer

The answer for 0.7071 as a fraction is approximately 7071/10000.

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, 0.7071 is the number on the numerator and the base number 1 will be the denominator. Then, 0.7071 becomes 0.7071/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 0.7071/1 × 10000/10000 = 7071/10000

Step 3: The fraction 7071/10000 is already in its simplest form, as 7071 and 10000 do not have a common divisor other than 1.

Thus, 0.7071 can be written as a fraction approximately equal to 7071/10000.

• 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 does not end, often repeating infinitely.