What is 38/42 Simplified?

Need to simplify the fraction 38/42? In our straightforward guide, we'll show you how to reduce 38/42 to its simplest form. Simplifying, or reducing a fraction to its lowest terms, is easy with our step-by-step instructions.

Understand The Fraction 38/42

38/42 is a fraction where the number 38 serves as the numerator (the top part of the fraction) and 42 is the denominator (the bottom part of the fraction). The fraction 38/42 can be simplified because both the numerator and denominator share common factors. In other words, there are numbers other than 1 that divide evenly into both 38 and 42. Simplifying a fraction involves finding these common factors and using them to reduce the fraction to its simplest form, where no further common factors exist between the numerator and the denominator.

Find the Greatest Common Divisor (GCD)

First, we find the GCD of 38 and 42, which is 2. The GCD is the largest number that evenly divides both 38 and 42.

Simplify 38/42

We divide both the numerator and the denominator by the GCD which is 2 in this case:

Numerator: 38÷2 = 19
Denominator: 42÷2 = 21
19 21

Answer

After simplification, 38/42 becomes 19/21. This simplification can be expressed

38 42 = 19 21

Conclusion

The fraction 38/42 simplifies to 19/21. And there you go! You're now fully equipped with the knowledge to simplify 38/42 to its simplest form. I hope the process was clear and that you feel confident applying these techniques to simplify other fractions independently.

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  • "What is 38/42 Simplified?". WorksheetGenius.com. Accessed on May 19, 2024. http://worksheetgenius.com/calc/simplify-fractions/38-42-simplified/.

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