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Test your basic knowledge 
GMAT Math: Fractions Decimals Ratios Interest
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Study First
Subjects
:
gmat
,
math
Instructions:
Answer 24 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it reenforces your understanding as you take the test each time.
1. 0.2 = 1/5  0.25 = 1/4  0.333 = 1/3  0.4 = 2/5  0.5 = 1/2  0.6 = 3/5  0.667 = 2/3  0.75 = 3/4  0.80 = 4/5
Ratios
Reducing fractions
Decimal  Fraction equivalents
Comparing fractions
2. It is easier if it converted to all fraction. You multiply the denominator by integer then add the numerator and place the resulting number over the original denominator  Example  3 1/2 = 3 = 6/2 = 1/2 + 6/2 = 7/2
Dividing fractions
Working with a mixed integer and fraction
Dividing decimals
Fractions  Advanced principles
3. To add 2 or more fractions with the same denominator  simply add up the numerators and put the sum over the denominator  Example  1/7 + 5/7 = (1+5)/7 = 6/7
Decimal  Fraction equivalents
Adding fractions  SAME denominator
Multiplying fractions
Ratios
4. Just a different way to express a fraction. Example  In two boxes there are 14 shirts  how many shirts are in three boxes?  2 (boxes)/14 (shirts) = 3 (boxes) / X shirts  then bowtie  2X = 3 x 14 = 42; 42 / 2 = x; x = 21
Multiplying decimals
Converting fractions
Multiplying fractions
Proportions
5. To ________________  divide the interest into as many parts as are being compounded. For example  if you're compounding semiannually you divide the interest into two equal parts. If you're compounding quarterly  you divide the interest into four e
Multiplying decimals
Comparing fractions
Converting fractions
Compound interest
6. To add or subtract decimals  just line up the decimal points and proceed. Example  6 + 2.5 + 0.3 looks like 6.0 2.5  0.3 = 8.8
Working with a mixed integer and fraction
Ratios
Dividing decimals
Adding / Subtracting decimals
7. To get 10% of any number  move the decimal point over one place Example  10% of 6 = .6 ; 10% of 60 = 6
Fractions  Advanced principles
Multiplying decimals
Some percentages simply involve moving a decimal point
Converting fractions
8. Just another way of expressing division  Example  1/2 is equal to 1 divided by 2. Another important way to think of a fraction is as part/whole
Adding fractions  SAME denominator
Reducing fractions
Percentage
Fraction
9. To subtract 2 or more fractions with the same denominator  subtract the numerators over the denominator  Example  6/7  2/7 = (62)/7 = 4/7
Subtracting fractions  SAME denominator
Dividing fractions
Fractions  Advanced principles
Adding / Subtracting decimals
10. The way to divide one decimal by another is to convert the number you are dividing by a whole number  you do this by simply moving the decimal point in the divisor as many places as necessary to get a whole number and you match this decimal point mo
The difference between a ratio and a fraction
Fractions  Advanced principles
Dividing decimals
Adding/Subtracting fractions  DIFFERENT denominators
11. To divide one fraction by another  just invert the second fraction and multiply  Example  2/3 divided by 3/4 = 2/3 x 4/3 = 8/9
Reducing fractions
Dividing fractions
Converting fractions
The difference between a ratio and a fraction
12. It's easy to break the percentage down into chunks Example 20% of 60 = 10% of 60 = 6; 20% of 60 is double 10% = 2x6 = 12 Example 30% of 60  10% of 60 =; 30% is triple 10% = 3x6 = 18
Decimal  Fraction equivalents
To find a more complicated percentage
Percent increase or decrease
Converting fractions
13. Close relatives of fractions. Can be expressed a fraction and vice versa. The ratio 3 to 4 can be expressed as 3/4.
Adding / Subtracting decimals
Comparing fractions
Ratios
Adding fractions  SAME denominator
14. To multiply fractions  just multiply the numerators and put the product over the product of the denominators  Example  2/3 x 6/5 = 12/15
Compound interest
Fractions  Advanced principles
Converting fractions
Multiplying fractions
15. You can compare fractions directly only if they have the same denominator. It is easiest to compare two fractions at a time. SHORTCUT = Bowtie = multiply denominator of 1st fraction by numerator of 2nd; denominator of 2nd fraction by numerator of th
Comparing fractions
Proportions
Compound interest
Decimal  Fraction equivalents
16. Just a fraction in which the denominator is always equal to 100. Fifty percent means 50 parts out of a whole of 100. Like any fraction  a percentage can be reduced  expanded  cross multiplied  converted to a decimal or converted to a fraction.
Proportions
Percentage
Multiplying decimals
Compound interest
17. The 'whole' in a ratio is the sum of all its parts. If the ratio is expressed as a fraction  the whole is the sum of the numerator and denominator. Example  the ration of women to men in a room is 3 to 4. The ratio = 3 women / 4 men The fraction =
The difference between a ratio and a fraction
Reducing fractions
Adding/Subtracting fractions  DIFFERENT denominators
Comparing fractions
18. In any problem with a percent increase or decrease  the trick is to always put the increase or decrease in terms of the original amount. Example  House in 1980 was $120 000; in 1988 the house is worth 180 000. What is the percentage increase? *a
Percent increase or decrease
Multiplying decimals
Reducing fractions
Working with a mixed integer and fraction
19. Before you add or subtract fractions with different denominators  you must make all the denominators the same. You must multiply by a fraction that is equal to 1 to keep the value the same  Example  1/2 = 2/3 = 1/2x3/3 = 2/3x3/3 = 3/6 + 4/6 = 7/6
Percentage
To get 1% of any number
Adding/Subtracting fractions  DIFFERENT denominators
The difference between a ratio and a fraction
20. To reduce a fraction  find a factor of numerator that is also a factor of the denominator. It saves time to find the bigger factor when you find a common factor  cancel it. Example  12/15 = 4x3/5x3 = 4/5  Reducing a larger fraction before work to
Comparing fractions
Dividing fractions
Reducing fractions
Multiplying fractions
21. More complicated fraction problems usually involve basic rules along with the concepts of part/whole and the 'rest'. Decimals are fractions and fractions can be decimals. When possible  convert decimals to fractions.
Ratios
Multiplying decimals
Fractions  Advanced principles
Dividing fractions
22. An integer can be expressed as a fraction by making the integer the numerator and making the denominator 1. Example  16 = 16/1
To find a more complicated percentage
To get 1% of any number
Reducing fractions
Converting fractions
23. Simply ignore the decimal points  when you are finished  count all the digits that were to the right of the decimal point in original order multiplied. Example  14.3 x .232 = 3.3176 (there were four decimal points in originally)
Multiplying decimals
Dividing fractions
Working with a mixed integer and fraction
Adding/Subtracting fractions  DIFFERENT denominators
24. Move the decimal point of that number over two places to the left Example  1% of 600 = 6 ; 1% of 60 = .6
Adding/Subtracting fractions  DIFFERENT denominators
Proportions
To get 1% of any number
Fractions  Advanced principles