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Word Problems

Browse Middle School Fractions & Percentages
Stars indicate particularly interesting answers or good places to begin browsing.

Selected answers to common questions:
    Finding a least common denominator (LCD).
    Dividing fractions.
    Comparing/ordering fractions; equivalent fractions.
    Reducing/simplifying fractions.
    Improper fractions and mixed numbers.
    Converting fractions to/from decimals.
    Fractions and repeating decimals.
    Finding a percentage.
    Percentage increase/decrease.


Adding and Multiplying Fractions [05/31/2001]
Why do I have to find a common denominator to add fractions, but not to multiply fractions?

Adding and Subtracting Algebraic Fractions [8/24/1996]
How do I add and subtract fractions with the same denominator?

Adding and Subtracting Percents [6/28/1996]
Could you please explain how to add and subtract percents?

Adding Fractions [05/21/2002]
How do you add fractions?

Adding Fractions That Have Variables [03/24/2002]

Adding Tax and Tip [07/19/1998]

Algebra and Fractions [08/30/1997]

Asking Price of a House [10/14/2001]

Averaging Percentages [12/11/1998]

What does a bar over a whole number indicate?

Boys Wearing Glasses [07/07/1999]

Calculating Lengthy Repeating Decimals [10/26/2006]

Calculating Percentage Increase [07/09/2004]
If my salary increased from 45k to 65k over a period of 10 years, what percentage increase did I receive per year?

Calculating Percentage of Errors [03/21/2002]

Calculating Percent Increases [10/29/1996]
What's the relation between evaluating 0.05 x 1200 + (1 x 1200) and 1.05 x 1200?

Calculating Sales Tax [09/19/2001]
How do I calculate sales tax? Please describe the steps.

Cancelling Fractions [01/04/1998]
How do you cancel 3/5 x 2/3?

Cancelling Fractions [05/06/2002]

Cancelling Fractions [06/03/2003]


Can You Have Zero in the Denominator? [11/7/1994]
My 7th grade math teacher and I are in the midst of an argument over whether any number can be placed over zero in a fraction. I know that a fraction like 10/5 equals 2, and 5*2=10, and that works out for all fractions where the numerator is larger than the denominator, but it doesn't work out for n/0. You'll probably say that it isn't a legitimate fraction, but.. I still say that it is. :)

Changing a Repeating Decimal to a Fraction [09/22/2002]
How do you change 0.75 repeating (0.757575...) to a fraction?

Checking Your Work [09/11/2003]


Clock Hands and Hours Worked [01/29/2003]

Comments on Dividing Fractions [03/15/2007]

Commissions [03/19/2002]

Comparing Fractions [03/11/1999]


Comparing Ratios and Fractions [01/06/2002]
What are the differences between ratios and fractions?

Converting a Mixed Decimal to a Fraction [11/09/2001]
Write 4.16 2/3 as a mixed number. We know the answer is 4 1/6; we just can't figure out why.



Converting Decimals to Fractions [7/10/1995]
A certain fraction is converted to a decimal and the decimal representation is 0.6428571428571428571... What is the fraction?

Converting Fractions and Decimals [02/05/1997]

Converting Fractions to Percents [04/24/2001]
How can I easily convert fractions such as 4/9, 10/9, or 11/12 into percentages?

Converting Repeating Decimals into Fractions [10/22/2003]

Converting Repeating Decimals into Fractions [06/25/2008]
How do you convert a repeating decimal to a fraction when there are some numbers before the part that repeats, like in 0.916666...?

Converting Repeating Decimals to Fractions [12/17/2006]


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