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Test your basic knowledge |
GMAT Math: Fractions Decimals Ratios Interest
Start Test
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 re-enforces 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
Fraction
Comparing fractions
Decimal - Fraction equivalents
Converting fractions
2. 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
Decimal - Fraction equivalents
Adding fractions - SAME denominator
Adding/Subtracting fractions - DIFFERENT denominators
Proportions
3. To subtract 2 or more fractions with the same denominator - subtract the numerators over the denominator - Example - 6/7 - 2/7 = (6-2)/7 = 4/7
Fraction
Subtracting fractions - SAME denominator
Multiplying decimals
Comparing fractions
4. 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
Comparing fractions
Dividing decimals
Adding / Subtracting decimals
To find a more complicated percentage
5. 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
To find a more complicated percentage
Dividing decimals
Ratios
Proportions
6. 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
Reducing fractions
Percentage
Working with a mixed integer and fraction
Multiplying decimals
7. 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 =
Adding fractions - SAME denominator
Adding/Subtracting fractions - DIFFERENT denominators
The difference between a ratio and a fraction
Percent increase or decrease
8. 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
Reducing fractions
Compound interest
Some percentages simply involve moving a decimal point
Percentage
9. 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
To find a more complicated percentage
Reducing fractions
Percent increase or decrease
Fractions - Advanced principles
10. 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
Multiplying decimals
Adding / Subtracting decimals
Fractions - Advanced principles
11. Close relatives of fractions. Can be expressed a fraction and vice versa. The ratio 3 to 4 can be expressed as 3/4.
Compound interest
Converting fractions
Ratios
Fractions - Advanced principles
12. Move the decimal point of that number over two places to the left Example - 1% of 600 = 6 ; 1% of 60 = .6
Comparing fractions
Some percentages simply involve moving a decimal point
To get 1% of any number
Percentage
13. 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
Dividing fractions
Dividing decimals
Compound interest
Multiplying decimals
14. An integer can be expressed as a fraction by making the integer the numerator and making the denominator 1. Example - 16 = 16/1
Percentage
Multiplying decimals
The difference between a ratio and a fraction
Converting fractions
15. 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
To find a more complicated percentage
Proportions
Percentage
Fraction
16. 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
Compound interest
Subtracting fractions - SAME denominator
Dividing decimals
Dividing fractions
17. 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
Adding / Subtracting decimals
Fractions - Advanced principles
Compound interest
18. To get 10% of any number - move the decimal point over one place Example - 10% of 6 = .6 ; 10% of 60 = 6
Reducing fractions
Fraction
Some percentages simply involve moving a decimal point
Compound interest
19. 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
Dividing decimals
Adding fractions - SAME denominator
Comparing fractions
Fractions - Advanced principles
20. 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
To get 1% of any number
Multiplying decimals
Proportions
Comparing fractions
21. 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
Dividing fractions
Compound interest
Proportions
Decimal - Fraction equivalents
22. 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
Multiplying fractions
Fraction
To get 1% of any number
Comparing fractions
23. 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.
To get 1% of any number
Percentage
Fractions - Advanced principles
Subtracting fractions - SAME denominator
24. 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.
Fraction
Percentage
Fractions - Advanced principles
Compound interest