Mastering the fraction 160/164ou grasp the concept, you'll find that they are actually quite simple. In this article, we'll break down the process of simplifying 160/164 into easy-to-follow steps that anyone can understand.
Step 1: Find the Greatest Common Divisor (GCD) of 160 and 164.
The first step in simplifying a fraction is to find the greatest common divisor (GCD) of the numerator and denominator. The GCD is the largest number that divides both numbers evenly. In this case, the GCD of 160 and 164 is 4. This means that both numbers can be divided by 4 without any remainder.
To find the GCD, you can use a variety of methods, such as prime factorization, the Euclidean algorithm, or simply dividing the numbers by smaller numbers until you find the largest one that divides both evenly. In this case, we can see that 160 divided by 4 equals 40, and 164 divided by 4 equals 41, both of which are whole numbers.
Step 2: Divide the Numerator and Denominator by the GCD.
Now that we've found the GCD of 160 and 164, we can simplify the fraction by dividing both numbers by 4. This step is crucial because it reduces the fraction to its simplest form. By dividing both the numerator and denominator by the GCD, we ensure that the fraction is fully simplified.
When we divide 160 by 4, we get 40. When we divide 164 by 4, we get 41. So, the simplified fraction of 160/164 is 40/41. This fraction is now in its simplest form and cannot be further reduced.
Step 3: Double-Check for Accuracy.
To ensure that we have correctly simplified the fraction 160/164, it's always a good idea to double-check our work. One way to do this is to see if there are any common factors that can be divided out of the numerator and denominator. In this case, we've already divided out the greatest common divisor, so there are no other factors to consider.
Another way to double-check our work is to convert the fraction to a decimal. When we divide 40 by 41, we get approximately 0.9756. This decimal equivalent confirms that our fraction 40/41 is indeed in its simplest form and accurately represents the original fraction 160/164.
In Conclusion.
Simplifying fractions may seem complex, but with a little practice and the right approach, you can master the process in just three easy steps. By finding the greatest common divisor, dividing the numerator and denominator by that number, and double-checking for accuracy, you can simplify any fraction with confidence.
The fraction 160/164 may have seemed challenging at first, but by following these three easy steps, you can now simplify it with ease. Remember that fractions are simply a way of expressing parts of a whole, and by simplifying them, we make them easier to work with in mathematical calculations.
Next time you encounter a fraction that seems intimidating, don't be discouraged. Take a deep breath, follow these simple steps, and simplify it like a pro. With practice and patience, you'll soon become a fraction-simplifying expert.
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