0.142 Decimal as a Fraction
In this article, we will explore how to convert the decimal number 0.142 to a fraction.
What is a Decimal?
A decimal is a way of representing a number using the base-10 number system. It consists of a whole number part and a fractional part separated by a decimal point. For example, 0.142 is a decimal number where 0 is the whole number part and 142 is the fractional part.
What is a Fraction?
A fraction is a way of representing a number as a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number) separated by a division line. For example, 1/2 is a fraction where 1 is the numerator and 2 is the denominator.
Converting 0.142 to a Fraction
To convert 0.142 to a fraction, we need to find the equivalent fraction that represents the same value.
Step 1: Multiply by 1000
First, we multiply 0.142 by 1000 to get rid of the decimal point.
0.142 × 1000 = 142
Step 2: Divide by the Greatest Common Divisor (GCD)
Next, we find the greatest common divisor (GCD) of 142 and 1000, which is 2. Then, we divide both the numerator and the denominator by the GCD.
142 ÷ 2 = 71 1000 ÷ 2 = 500
So, the fraction equivalent to 0.142 is:
71/500
Therefore, 0.142 as a fraction is equal to 71/500.
Conclusion
In this article, we have successfully converted the decimal number 0.142 to a fraction, which is 71/500. This conversion is useful in many mathematical applications, such as simplifying calculations, comparing ratios, and solving problems.
