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