Ask Dr. Math Middle School Archive

Dr. Math Home || Elementary || Middle School || High School || College || Dr. Math FAQ

 TOPICS This page:   fractions/percentages    Search   Dr. Math See also the Dr. Math FAQ:   fractions/decimals   percentages Internet Library:   fractions/decimals   percents T2T FAQ:   fraction help MIDDLE SCHOOL About Math Algebra    equations    factoring expressions    graphing equations Arithmetic    division    exponents    factorials    factoring numbers    fractions/percents    logarithms Definitions Geometry    2-dimensional      conic sections/        circles      triangles/polygons    3D and higher      polyhedra History/Biography Logic Measurement    calendars/      dates/time    temperature    terms/units Number Sense    factoring numbers    negative numbers    pi    prime numbers    square roots Probability Puzzles Ratio/Proportion Statistics Word Problems Browse Middle School Fractions & Percentages Stars indicate particularly interesting answers or good places to begin browsing. Thinking about the Mediant of Two Fractions [12/10/2009] One of my students noticed that when given 1/a and 1/b, the fraction 2/(a+b) always seems to be in between 1/a and 1/b. Is this a new fraction rule, or has this been discovered and proved before? Tips for Simplifying Fractions [06/03/1998] Can you give my some tips to help me simplify fractions? Tips on Quickly Converting Fractions to Percents [02/14/2005] Is there an easy way to turn fractions like 9/60 into a percent without using a calculator? Two Ways to Change Percents to Fractions [02/21/1998] How do I change something like 10 1/4% into a fraction? Undefined Fractions [02/19/2002] Why is a fraction with a denominator of zero called "undefined"? Undefined Fractions [06/10/2005] I am having trouble determining the difference between an undefined fraction and a fraction with no solution. Maybe you can help me determine the difference. Understanding Decimal Notation [06/10/2002] I've been told that you should be able to look at a number like 2 15/100 and know that the decimal equivalent is 2.15. But I don't understand why they're the same. Undoing Percentage Changes [07/10/2002] If I increase an initial amount by P percent, by what percentage would I have to decrease it to get back to where I started? Unit Fractions and the Greedy Algorithm [12/27/2000] How can I represent 2000/2001 as the sum of unit fractions? Unit Fractions Summing to 1 [07/15/2001] Find seven different unit fractions whose sum is 1. Use of Hyphen When Writing Fractions with Words [01/20/2004] I have seen 2/3 written as two-thirds or as two thirds. Are both ways (with a hyphen, without a hyphen) acceptable, or is only one truly correct? Using Common Denominators to Compare Fractions [03/17/1998] How do you decide which is bigger -- 3/8 or 4/9 -- using equivalent fractions? Ways of Adding Fractions [03/19/1999] Can you help me calculate 1/3 + 1/6? Weird Fraction [06/11/2003] Factoring in order to cancel terms. What are Compound Fractions? [11/23/2002] I often get confused by compound fractions. What are they, and how do they work? What Does Cancelling Mean? [01/22/2003] My teacher says that 2k/4n can be simplified to k/2n. How can one k cancel out 2 n's? What Exactly is a Fraction? [10/15/2001] What is a fraction? Is 3/1 a fraction? Is 5/sqrt(2) a fraction? What Percent is 0.7? [6/12/1996] Is it 70 percent? When Percentage Calculations are Inappropriate [02/11/2003] How do I best calculate the percentage of goal when at least one of the numbers is a negative number? When to Add or Multiply Denominators? [04/02/2001] When you multiply fractions, you multiply the numerators and then the denominators. When you add fractions, you add the numerators but not the denominators. Why the difference? Which Fractions Repeat? [07/21/1998] How do you know whether a fraction will be a repeating or terminating decimal? If repeating, how many decimal places? Why Are All Repeating Decimals Classified Rational? [11/12/1997] Please explain how .6 repeating can be a rational number when expressing it over 10's, 100's, etc. Why Cancel? [02/25/2003] Why do we have to cancel numbers? Why Decimal Division Works [04/24/2001] Can you explain why (not how) the procedure of division with decimals works? Why Does Cross Multiplication Work? [05/09/2002] Why does the rule a/b = c/d also mean ad = bc? Why can we solve proportions by cross multiplying? Why Does Division Convert a Fraction to a Decimal? [01/04/2009] Why do you divide the denominator into the numerator to turn a fraction into a decimal? What is the math behind that process? Why Does OF Mean Multiply? [12/04/2001] I wanted to know why the word "of" means multiplication. Why Do We Rationalize Fractions? [11/29/2005] Why do we have to simplify fractions that have a radical in the denominator to remove that radical and rationalize the denominator? Why is that important? Why Find the LCM? [10/07/1998] Where do you use LCMs? How do they apply to real life? Why Learn Fractions? [8/13/1996] What is the point of learning fractions? Why the Decimal Point Goes Where It Does [09/21/2003] My daughter is having trouble understanding why the first place before the decimal point is 'ones', and the first one after is 'tenths'. Why Were Fractions Invented? [11/26/2007] An overview of the history of fractions and the purpose they serve. Writing a Percent as a Fraction and Reducing the Result [05/03/2004] I just can't seem to figure out how to convert a percent into a fraction, such as 20% = 20/100 = 1/5. All I know is that you put it into a fraction like 20/100 but after that I get stuck and I just don't know how to get the answer. Writing Ratios [06/03/1999] How can I write a ratio in three different ways? Writing Repeating Decimals as Fractions [11/8/1995] When you are expressing a repeating decimal as a fraction, why do you use 9, 99, 999, or 9999 etc. in the denominator? For example, 0.5555...(5 repeating) equals 5/9. X is What Part of Y? [11/01/2001] 2/5 is what part of 4/5? What part of 2/3 is 4/5? What part is 4/5 of 3? 2/3 is what part of 2? Zero Before the Decimal Point? [10/06/2000] What is the merit of writing the zero before the decimal point in numbers less than one, for example 0.25? Zero in the Denominator [8/14/1996] What is the value of 4/0 * 0/4? Page: [

Search the Dr. Math Library:

 Search: entire archive just Middle School Fractions Find items containing (put spaces between keywords):   Click only once for faster results: [ Choose "whole words" when searching for a word like age.] all keywords, in any order at least one, that exact phrase parts of words whole words