Simplifying Fractions: 34/51 as a Fraction in Simplest Form
Fractions can be a bit tricky to work with, but simplifying them can make calculations much easier. In this article, we'll explore how to simplify the fraction 34/51 to its simplest form.
What is the simplest form of a fraction?
The simplest form of a fraction is when the numerator (the top number) and the denominator (the bottom number) have no common factors other than 1. This means that the fraction cannot be simplified further.
Simplifying 34/51
To simplify the fraction 34/51, we need to find the greatest common divisor (GCD) of 34 and 51.
Step 1: Find the factors of 34 and 51
The factors of 34 are: 1, 2, 17, 34 The factors of 51 are: 1, 3, 17, 51
Step 2: Identify the GCD
The greatest common divisor of 34 and 51 is 17.
Step 3: Divide both numbers by the GCD
Divide both the numerator and the denominator by the GCD:
34 ÷ 17 = 2 51 ÷ 17 = 3
The simplest form of 34/51 is...
The simplified fraction is:
2/3
And that's it! The fraction 34/51 in its simplest form is 2/3.
Conclusion
Simplifying fractions can make a big difference in mathematical calculations. By finding the greatest common divisor and dividing both numbers by it, we can simplify fractions to their simplest form. In this case, the fraction 34/51 simplifies to 2/3.
