\( \leftarrow \) Write \( \frac{20}{42} \) in lowest terms

To simplify \( \frac{20}{42} \), we can find the greatest common divisor (GCD) of 20 and 42, which is 2. Dividing both the numerator and the denominator by 2, we get \( \frac{20 \div 2}{42 \div 2} = \frac{10}{21} \). So, in lowest terms, \( \frac{20}{42} = \frac{10}{21} \). Now, let’s talk about some fun math history! Did you know that fractions have been used since ancient civilizations? The Egyptians, for instance, wrote fractions using hieroglyphs, and they even had a special symbol for 2/3! This shows us just how long people have been working with these essential mathematical concepts. If you want to avoid common mistakes when simplifying fractions, always remember to find the GCD first! A frequent error is just to divide by any common number. This could lead to incorrect simplifications. Always double-check your work by multiplying the simplified fraction back to see if you reach the original fraction. Happy calculating!