UPDATED STUDY GUIDE WITH PRACTICE
QUESTIONS, ANSWERS, AND RATIONALES
| GRADED A+ | GUARANTEED SUCCESS
Updated 2026 Questions and Answers
100% Verified Exam Prep and Comprehensive
Rationales Included
,1 over a fraction 1/a/b = b/a
How to simplify a complex fraction: Method 1 Multiply both the numerator of the complex fraction and the denominator of the
complex fraction by the LCD
How to simplify a complex fraction: Method 2 Write the numerator of the complex fraction as a single fraction, do the same to
the denominator, then divide
How to simplify a complex fraction: Method 3 After doing method 2, (a/b)/(c/d) = ad/bc
Bowtie method of comparing fractions
Best way to compare size of multiple fractions Find the least common denominator and then compare the numerators
2 other ways to compare fractions 1. Use a reference point
2. Use a common numerator (larger denominator = smaller fraction)
Given a fraction, multiplying or dividing both the will not change the value of the fraction. Ex: 1/2 x 5/5 = 5/10
numerator and the denominator by the same nonzero
constant...
Given a fraction, adding or subtracting from the will change the value of the fraction
numerator and denominator the same nonzero constant...
If a fraction is between 0 and 1, adding a positive Make the fraction larger
constant to top and bottom will... Make the fraction smaller (as long as it's still + )
Subtracting from the top and bottom of this fraction a
positive constant will...
If a fraction is greater than 1, adding a positive constant to Make the fraction smaller
top and bottom will... Make the fraction larger (as long as it's still +)
Subtracting from the top and bottom of this fraction a
positive constant will...
How to add or subtract decimals vertically line up the decimal points of the numbers and then add/subtract
How to multiply decimals Does not require aligning the decimal points. arrange with right justification,
multiply like normal and then count the total number of decimal places to the
right of the decimal in the numbers. Then move the decimal point of the product
to the left the same number of spaces
, Shortcut for multiplying decimals Count the total number of decimal places from the two numbers being multiplied.
That will be the number of decimal places in the answer (unless the answer ends in
0)
How to divide decimals 1. Move the decimal point of the divisor to the right until it becomes a whole
number
2. Move the decimal point of the dividend to the right the same number of places
3. Divide the numbers by long division. For the quotient, keep the decimal in the
same place as the new dividend
How to compare the size of decimals Compare them place by place, left to right. The larger decimal will have the larger
number at the first place of difference
Percent means divide by 100
x% = x/100
How to convert a fraction to percent Multiply by 100 and add %
How to convert a decimal or integer to percent Move decimal point two places to the right and add %
Convert percent to decimal Move the decimal two places to the left and drop the %
Convert a fraction to a decimal Divide numerator by denominator using long division
Converting Terminating Decimals to Fractions If one decimal place: write the number (as if the decimal point were not there)
over 10
If two decimal places: write the number (without decimal) over 100
If three decimal places: write the number (without decimal) over 1000
1/6 = .167 or 16.7%
1/7 = .143 or 14.3%
1/8 = .125 or 12.5%
1/9 = .111 or 11.1%
Decimal equivalents of Base 6 fractions .167
.333
.5
.667
.833