After 16ths, you would have 32nds, 64ths, 128ths, 256ths, 512ths, 1024ths, 2048ths, and on and on and on. Each mark on the ruler that ends up with multiple fractions can be reduced to the top most fraction in the set! Trick 3 Continuing on! You can continue the Cut and Double forever! Each time just split the last section in half and double the denominator of the last fraction. If you were to write ALL of the fractions down every time you did a set, your Inch would look like Picture 3. Notice that in each fraction, the numerator is ONE LESS than the denominator! Trick 2 You can use your completed inch as a calculator for reducing fractions. Look at the last fraction in each set as shown in Picture 2. If you have an even number as a numerator, it needs to be reduced or you haven't got it in the right spot! 2. What do you notice about ALL of the numerators?! THEY ARE ALL ODD. Do you see any patterns? There are two that stand out that can come in handy to check your work to make sure you drew your inch correctly. Now lets show you a couple of patterns and give you some tips and tricks! Trick 1 Take a minute and look at the fractions. You've Drawn your Inch! Here's what your completed Inch should look like- see Pictures 1 and 4.
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