1.414 as a Fraction

Answer:

The answer for 1.414 as a fraction will be 707/500.

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, 1.414 is the number on the numerator and the base number 1 will be the denominator. Then, 1.414 becomes 1.414/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 1.414/1 × 1000/1000 = 1414/1000

Step 3: Here 2 is the GCD of 1414 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 2. 1414/1000 = 707/500 Hence, 1.414 is in the form fraction of 707/500.

Thus, 1.414 can be written as a fraction 707/500.

• 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.