FDPR Flashcards
FDP Equivalents
1/100
.01
1%
FDP Equivalents
.01
1/100
1%
FDP Equivalents
1%
1/100
.01
FDP Equivalents
1/50
.02
2%
FDP Equivalents
.02
1/50
2%
FDP Equivalents
2%
1/50
.02
FDP Equivalents
1/25
.04
4%
FDP Equivalents
.04
1/25
4%
FDP Equivalents
4%
1/25
.04
FDP Equivalents
1/20
.05
5%
FDP Equivalents
1/10
.10
10%
FDP Equivalents
.10
1/10
10%
FDP Equivalents
10%
1/10
.10
FDP Equivalents
1/9
.1111…
11.1…%
FDP Equivalents
.1111…
1/9
11.1%
FDP Equivalents
11.1%
1/9
11.1%
FDP Equivalents
1/8
.125
12.5%
FDP Equivalents
.125
1/8
12.5%
FDP Equivalents
12.5%
1/8
.125
FDP Equivalents
1/6
.16…
16.6…%
FDP Equivalents
.16…
1/6
16.6…%
FDP Equivalents
16.6…%
1/6
16.6…%
FDP Equivalents
1/5
.2
20%
FDP Equivalents
.2
1/5
20%
FDP Equivalents
20%
1/5
.2
FDP Equivalents
1/4
.25
25%
FDP Equivalents
.25
1/4
25%
FDP Equivalents
25%
1/4
.25
FDP Equivalents
3/10
.3
30%
FDP Equivalents
.3
3/10
30%
FDP Equivalents
30%
3/10
30%
FDP Equivalents
1/3
.333…
33.3…%
FDP Equivalents
.333…
1/3
33.3…%
FDP Equivalents
33.3…%
1/3
.333…
FDP Equivalents
3/8
.375
37.5%
FDP Equivalents
.375
3/8
37.5%
FDP Equivalents
37.5%
3/8
.375
FDP Equivalents
2/5
.4
40%
FDP Equivalents
.4
2/5
40%
FDP Equivalents
40%
2/5
.4
FDP Equivalents
1/2
.5
50%
FDP Equivalents
.5
1/2
50%
FDP Equivalents
50%
1/2
.5
FDP Equivalents
3/5
.6
60%
FDP Equivalents
.6
3/5
60%
FDP Equivalents
60%
3/5
.6
FDP Equivalents
5/8
.625
62.5%
FDP Equivalents
.625
5/8
62.5%
FDP Equivalents
62.5%
5/8
.625
FDP Equivalents
2/3
.66…
66.66..%
FDP Equivalents
.66…
2/3
66.66…%
FDP Equivalents
66.66…%
2/3
.66…
FDP Equivalents
7/10
.7
70%
FDP Equivalents
.7
7/10
70%
FDP Equivalents
70%
7/10
.7
FDP Equivalents
3/4
.75
75%
FDP Equivalents
.75
3/4
75%
FDP Equivalents
75%
3/4
.75
FDP Equivalents
4/5
.8
80%
FDP Equivalents
.8
4/5
80%
FDP Equivalents
80%
4/5
.8
FDP Equivalents
5/6
.833…
83.3…%
FDP Equivalents
.833…
5/6
83.3…%
FDP Equivalents
83.3%
5/6
.833…
FDP Equivalents
7/8
.875
87.5%
FDP Equivalents
.875
7/8
87.5%
FDP Equivalents
87.5%
7/8
.875
FDP Equivalents
9/10
.9
90%
FDP Equivalents
.9
9/10
90%
FDP Equivalents
90%
.9
9/10
FDP Equivalents
1/1
1
100%
FDP Equivalents
1
1/1
100%
FDP Equivalents
100%
1/1
1
FDP Equivalents
5/4
1.25
125%
FDP Equivalents
1.25
5/4
125%
FDP Equivalents
125%
5/4
1.25
FDP Equivalents
4/3
- 33…
13. 3…%
FDP Equivalents
1.33…
4/3
13.3…%
FDP Equivalents
133.3…%
4/3
1.33
FDP Equivalents
3/2
1.5
150%
FDP Equivalents
1.5
3/2
150%
FDP Equivalents
150%
3/2
1.5
FDP Equivalents
7/4
1.75
175%
FDP Equivalents
1.75
7/4
175%
FDP Equivalents
175%
7/4
1.75
ratios
What are two strategies that can be used on complicated ratio questions?
1) combine terms when you have a multiple ratios
2) use the unknown multiplier principle
ratios
How do you combine terms?
change ratios to have common terms corresponding to the same quantity just as you can change fractions to have the same denominator.
FDPR word problems
Two types of information is presented in these problems: Concrete Values & Relative Values. What is the difference and why does it matter?
Concrete values are actual amounts
Relative values relate two quantities using fractions, decimals, percents, or ratios
You need MORE info to answer a concrete value.
tip
What is needed for the statement to be sufficient in a data sufficiency question that asks for the relative value of two pieces of a ratio?
(Ex. A company sells only two kinds of pie: apple pie and cherry pie. What fraction of the total pies sold last month were apple pies?)
ANY statement that gives the relative value of ANY two pieces of the ratio will be sufficient.
(Ex. the compnay sold 30% more cherry pies than apple pies last month)
tip
What is needed for the statement to be sufficient in a data sufficiency question that asks for the concrete value of one element of a ratio?
(Ex. A company sells only two kinds of pie: apple pie and cherry pie. How many apple pies did the company sell last month?)
BOTH the concrete value of another element of the ratio AND the relative value of two elements of the ratio.
(Ex. The company sold 460 pies AND The company sold 30% more cherry pies than apple pies last month)
strategy
What is a “Smart Number”? When should you use it and shouldn’t you?
Smart Numbers are real numbers that you use to stand in for variables. To make computation easier, choose smart numbers equal to common multiples of the denominators of the fractions in the problem.
DO pick smart number when no amounts are given in the problem
DO NO pick smart numbers when any amount or total is given
strategy
How can you simplify percent problems that include unspecified numerical amounts?
Use 100 as your smart number
strategy
Describe a use of Benchmark values in fraction problems
Use benchmark values when comparing fractions, estimating the fraction as a more simple fraction that it is close to. NOTE: try to make rounding errors cancel
strategy
What is the heavy division shortcut?
get a single digit to the left of the decimal in the denominator to get an approximate answer. If it isn’t precise enough, keep one more decimal.
ex.
1,530,794 15.30794
————— = ————–
314,900 3.149000
Answer is about 5
tip
How can you determine if something will be a terminating decimal?
1st - the divisor is key
2nd - if the divisor has only 2s and/or 5s as Prime Factors, after we cancel common factors with the numerator, it will always be a terminating decimal
