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