0.7142 as a Fraction

Answer

The answer for 0.7142 as a fraction will be 3571/5000.

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, 0.7142 is the number on the numerator and the base number 1 will be the denominator. Then, 0.7142 becomes 0.7142/1.

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). 0.7142/1 × 10000/10000 = 7142/10000

Step 3: Here 2 is the GCD of 7142 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 2. 7142/10000 = 3571/5000 hence, 0.7142 is in the form fraction of 3571/5000

Thus, 0.7142 can be written as a fraction 3571/5000.

• 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 number that divides two or more numbers without a remainder.