Converting 0.1377 to a Fraction
Sometimes, decimal numbers can be converted to fractions, making them easier to understand and work with. In this article, we'll explore how to convert 0.1377 to a fraction.
Step 1: Divide by the Place Value
To convert 0.1377 to a fraction, we need to divide it by the place value of the last digit, which is 7 in this case. The place value of 7 is 10^4 or 10,000.
Step 2: Find the Greatest Common Divisor (GCD)
Next, we need to find the Greatest Common Divisor (GCD) of 1377 and 10000. The GCD is the largest number that divides both numbers without leaving a remainder. Using the Euclidean algorithm, we find that the GCD is 1.
Step 3: Express as a Fraction
Now, we can express 0.1377 as a fraction:
0.1377 = 1377/10000
Simplifying the Fraction
We can simplify the fraction by dividing both the numerator and the denominator by their GCD, which is 1:
1377 ÷ 1 = 1377 10000 ÷ 1 = 10000
So, the simplified fraction is:
0.1377 = 1377/10000
Therefore, we have successfully converted 0.1377 to a fraction: 1377/10000.
