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114 LearnersLast updated on March 7th, 2025
0.7142 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 0.7142, we are going to learn how to convert a decimal to a fraction.
What is 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.
Important Glossaries for 0.7142 as a Fraction
- 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.
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