tag:blogger.com,1999:blog-1907702537884089718.post7867189491163156111..comments2017-06-24T04:07:09.131-07:00Comments on Exit 10A: Natural ResourcesJoe Schwartznoreply@blogger.comBlogger2125tag:blogger.com,1999:blog-1907702537884089718.post-49550965678893689982017-01-24T04:16:05.887-08:002017-01-24T04:16:05.887-08:00Joshua, Thanks for the close read. Likely I'm...Joshua, Thanks for the close read. Likely I'm the one that made the confusing statement! Going back to the original student statement: Both 0.4 and 0.75 equal to a fraction with the same denominator, I took it to mean that it was possible to express both those decimals as fractions that had the same denominator (40/100 and 75/100.) So in this case just looking at the denominators, which are equal, like if you had two fractions and were looking for a common denominator. I took the other side to mean that while the denominators in the fractions 40/100 and 75/100 were equal, the fractions themselves were not. So my writing "equivalent fractions with the same denominator" doesn't really make sense, because while I could make equivalent fractions with different denominators, like 2/4 and 3/6, equivalent fractions with the same denominator don't exist, because an equivalent fraction with the same denominator would just be itself? Joe Schwartzhttp://www.blogger.com/profile/02304083254248927187noreply@blogger.comtag:blogger.com,1999:blog-1907702537884089718.post-82990706218023158812017-01-24T02:31:54.892-08:002017-01-24T02:31:54.892-08:00I don't understand the alternative interpretat...I don't understand the alternative interpretation of the statement: "It was true that 4/10 and 75/100 couldn't be converted to equivalent fractions with the same denominator."<br /><br />One interpretation, which seems consistent with many of the student answers, is that we are looking for three integers (a,b,c) such that a/b = 0.4 and b/c = 0.75<br /><br />For the other "side," one student makes an assertion, the other has two fractions that meet our requirement, but seems to think that it matters that a and b are different. Even if they are thinking about numerators, though, they are still wrong, it is possible to find integers x, y, z such that<br />0.4 = x/y, 0.75 = x/z.Joshua Greenehttp://www.blogger.com/profile/11702319994021721608noreply@blogger.com