4.188 to Fraction: Convert Decimal to Fraction
In mathematics, decimals and fractions are two ways to represent numbers. Decimals are a more common way to represent numbers, but fractions have their own importance, especially in certain mathematical operations. In this article, we will learn how to convert the decimal 4.188 to a fraction.
What is a Fraction?
A fraction is a way to represent a part of a whole. It consists of a numerator (the top number) and a denominator (the bottom number). The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.
Converting Decimal to Fraction
To convert a decimal to a fraction, we need to divide the decimal by the power of 10 that corresponds to the number of decimal places. In the case of 4.188, we have three decimal places, so we will divide by 1000.
Step 1: Multiply by 1000
4.188 × 1000 = 4188
Step 2: Divide by the Greatest Common Divisor (GCD)
Now, we need to find the GCD of 4188 and 1000. The GCD is the largest number that divides both numbers without leaving a remainder.
GCD(4188, 1000) = 4
So, we will divide both numbers by 4:
4188 ÷ 4 = 1047 1000 ÷ 4 = 250
The Final Answer
The fraction equivalent of 4.188 is:
1047/250
In conclusion, the decimal 4.188 can be converted to a fraction, which is 1047/250. This is a useful skill to have, especially when working with mathematical operations that require fractions.
