when you multiply a number by a value that's greater than 1, that number increases, for example 2 and then we multiply it like 2 * 3, clearly 2*3 is greater than 2.
now when you multiply a number by a value that's lesser than 1, that number decreases, for example 2 and then we multiply it by something like 1/4, so 2 * 1/4 = 1/2, well, clearly 1/2 is smaller than 2, so 1/2 is a decreased value of 2.
23)
we have here 4/7, and then a product, well, the product is 4/7 and 9/10, however 9/10 is less than 1, recall 1 = 10/10, 9/10 is just a tiny bit less than 1.
because we're multiplying 4/7 by some amount less than 1, the product is a smaller value than 4/7, thus
![\bf \cfrac{4}{7}~~>~\left( \cfrac{9}{10}\times \cfrac{4}{7} \right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B4%7D%7B7%7D~~%3E~%5Cleft%28%20%5Ccfrac%7B9%7D%7B10%7D%5Ctimes%20%5Ccfrac%7B4%7D%7B7%7D%20%5Cright%29)
25)
we have here 5/6 and we multiply it by 7/7, wait a minute!!! 7/7 = 1, we're really just multiplying 5/6 by 1 then, what does that give us? well, 5/6 * 1 = 5/6, just the number itself,
![\bf \cfrac{5}{6}~~=~\left( \cfrac{5}{6}\times \cfrac{7}{7} \right)](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B5%7D%7B6%7D~~%3D~%5Cleft%28%20%5Ccfrac%7B5%7D%7B6%7D%5Ctimes%20%5Ccfrac%7B7%7D%7B7%7D%20%5Cright%29)