1.41421 as a Fraction

Answer

The answer for 1.41421 as a fraction will be approximately 70711/50000.

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, 1.41421 is the number on the numerator and the base number 1 will be the denominator. Then, 1.41421 becomes 1.41421/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 100000 (because there are 5 decimal places). 1.41421/1 × 100000/100000 = 141421/100000

Step 3: To simplify the fraction, you can find the GCD of 141421 and 100000, which is 1. Thus, the fraction is already in its simplest form. However, for practical purposes, we approximate it as 70711/50000.

Thus, 1.41421 can be approximately written as the fraction 70711/50000.

• 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.
   
• Approximation: A value or quantity that is nearly but not exactly correct, often used in contexts where exact values are difficult to obtain.