47/24 as a Fraction in Simplest Form
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When we deal with fractions, it's essential to simplify them to their simplest form. Simplifying a fraction means reducing it to its lowest terms, making it easier to work with and understand. In this article, we'll explore how to simplify the fraction 47/24.
What is the Simplest Form of 47/24?
To find the simplest form of 47/24, we need to identify the greatest common divisor (GCD) of the numerator (47) and the denominator (24). The GCD is the largest number that divides both numbers without leaving a remainder.
Using the Euclidean algorithm or a factor tree, we can find the GCD of 47 and 24:
Factor Tree:
47 = prime number 24 = 2^3 × 3
The GCD of 47 and 24 is 1, which means that 47 and 24 are coprime. Since the GCD is 1, the fraction 47/24 is already in its simplest form.
Simplified Fraction: 47/24
The simplified fraction of 47/24 is 47/24. There's no need to simplify it further, as it's already in its lowest terms.
Why Simplify Fractions?
Simplifying fractions is crucial in various mathematical operations, such as adding, subtracting, multiplying, and dividing fractions. Simplified fractions make calculations easier and more efficient. They also help in comparing fractions, identifying equivalent ratios, and solving problems involving fractions.
Conclusion
In conclusion, the simplest form of the fraction 47/24 is 47/24. Since the GCD of 47 and 24 is 1, the fraction is already in its lowest terms. Simplifying fractions is an essential skill in mathematics, and understanding how to simplify them can help you tackle complex problems with ease.
