Simplifying the Fraction 0.14 to its Simplest Form
What is the Fraction 0.14?
The fraction 0.14 is a decimal fraction that represents a part of a whole. In this case, it represents 14 parts out of 100. However, this fraction can be simplified further to make it easier to work with.
Simplifying the Fraction 0.14
To simplify the fraction 0.14, we need to find the greatest common divisor (GCD) of 14 and 100. The GCD is the largest number that divides both 14 and 100 without leaving a remainder.
Calculating the GCD
To calculate the GCD, we can use the following steps:
- List the factors of 14: 1, 2, 7, 14
- List the factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
- Identify the common factors: 1, 2
- The GCD is the highest common factor: 2
Simplifying the Fraction
Now that we have found the GCD, we can simplify the fraction 0.14 by dividing both the numerator and the denominator by the GCD.
0.14 = 14/100 = (14 ÷ 2)/(100 ÷ 2) = 7/50
Simplest Form of 0.14
The simplest form of the fraction 0.14 is 7/50.
In conclusion, the fraction 0.14 can be simplified to its simplest form, which is 7/50. This simplified form makes it easier to work with and compare with other fractions.
