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# how to find equivalent fractions and mixed number

Question:2/4 2/6 this is a way i was told to do before adding fractions with different deniminators.so what is the equivalent fraction of these numbers. please show your work.

Answers:You'll want equivalent fractions of smallest common denominators: therefore, 2/4 becomes 6/12, and 2/6 becomes 4/12 this makes it easy to add fractions - 6/12 + 4/12 = 10/12 then reduce the fraction to its simplest form: 10/12 = 5/6

Question:for example: 4 2/3 3 1/5 + 2 4/5 --------- plz explain how to do that and in simplest form thnx

Answers:Find common denominators first 4 2/3 = 4 10/15 3 1/5 = 3 3/15 2 4/5= 2 12 /15 9 25/15 10 10/15 10 2/3

Question:I know this sounds really stupid, but me and my mom are having an argument about how to do simple third grade math.I'm in 7th grade and never learned fractions right. Here's the question : 5/9 = 2 3/4. I thought you changed the mixed number into an improper fraction, add the fractions together, and then divide your numerator by the denominator (since the top on is bigger in this case) and what you got would be the whole number, then the number after the point would be the numerator, then the denominator would be the same.

Answers:First of all 2 3/4 does NOT equal 5/9. The improper fraction for it would be 11/4 (you multiply 2 times 4 and add the 3, so you have 8 +3 =11, and place it over the 4 to give you the 11/4. 5/9 is a proper fraction by itself. 9/5 would be the improper fraction because it comes out to 1 4/5. To add together 5/9 and 2 3/4: 1. change the improper fraction to 11/4 2. find the **lowest common multiple between the 2 of them, which in this case is 36. (http://www.mathsisfun.com/least-common-multiple-tool.html) 3. change 5/9 to 20/36 (9 times 4 = 36 and 4 times 5=20). 4.do the same for 11/4 (4 times 9 =36; 11 times 9 =99) to make 99/36 5. add the two together : 20/36 + 99/36 (keeping the same denominator ) to equal 119/36. 6. Reduce the 119/36 (3 times 36 = 108), so you have 3 11/36 as your answer because 11/36 cannot be reduced any further. For more "expert help" go to http://www.mathsisfun.com/fractions_addition.html Other topics at the site: Introduction to Fractions Simplifying Fractions Equivalent Fractions Least Common Multiple Least Common Multiple Tool Least Common Denominator Subtracting Fractions Multiplying Fractions Dividing Fractions Fractions Index **Definition of Least Common Multiple, with examples: http://www.mathsisfun.com/least-common-multiple.html

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