GMAT - Target TestPrep Exam
Mixed Number to Improper Fraction - Multiply the denominator by the whole
number, add to the numerator. Keep the denominator the same.
least common denominator - The least common multiple of the denominators of
two or more fractions. To determine the LCD of the fractions, list the multiples of
the denominators and find the smallest number that is common to the lists.
equivalent fractions - Two fractions a/b and c/d are equivalent if ad=bc
Adding/subtracting fractions with same denominator - a/b + c/b = (a+c)/b or a/b
+c/b = (a-c)/b
Distributive property of division over addition - (a+c)/b = a/b + c/b
Adding/subtracting fractions with different denominators - a/b + c/d = (ad +
bc)/bd ... a/b - c/d = (ad - bc)/bd
Subtracting a fraction from a whole number - A - b/c = (c x A - b)/c
Multiplying fractions - a/b x c/d = ac/bd
,GMAT - Target TestPrep Exam
Dividing fractions - Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc
Two methods for simplifying fractions - Cross cancel and top-and-bottom cancel
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
,GMAT - Target TestPrep Exam
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 numerator and the denominator
by the same nonzero constant... - will not change the value of the fraction. Ex: 1/2
x 5/5 = 5/10
Given a fraction, adding or subtracting from the numerator and denominator the
same nonzero constant... - will change the value of the fraction
If a fraction is between 0 and 1, adding a positive constant to top and bottom
will...
Subtracting from the top and bottom of this fraction a positive constant will... -
Make the fraction larger
Make the fraction smaller (as long as it's still + )
If a fraction is greater than 1, adding a positive constant to top and bottom will...
Subtracting from the top and bottom of this fraction a positive constant will... -
Make the fraction smaller
Make the fraction larger (as long as it's still +)
, GMAT - Target TestPrep Exam
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
Mixed Number to Improper Fraction - Multiply the denominator by the whole
number, add to the numerator. Keep the denominator the same.
least common denominator - The least common multiple of the denominators of
two or more fractions. To determine the LCD of the fractions, list the multiples of
the denominators and find the smallest number that is common to the lists.
equivalent fractions - Two fractions a/b and c/d are equivalent if ad=bc
Adding/subtracting fractions with same denominator - a/b + c/b = (a+c)/b or a/b
+c/b = (a-c)/b
Distributive property of division over addition - (a+c)/b = a/b + c/b
Adding/subtracting fractions with different denominators - a/b + c/d = (ad +
bc)/bd ... a/b - c/d = (ad - bc)/bd
Subtracting a fraction from a whole number - A - b/c = (c x A - b)/c
Multiplying fractions - a/b x c/d = ac/bd
,GMAT - Target TestPrep Exam
Dividing fractions - Multiply by the reciprocal: a/b x c/d = a/b x d/c = ad/bc
Two methods for simplifying fractions - Cross cancel and top-and-bottom cancel
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
,GMAT - Target TestPrep Exam
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 numerator and the denominator
by the same nonzero constant... - will not change the value of the fraction. Ex: 1/2
x 5/5 = 5/10
Given a fraction, adding or subtracting from the numerator and denominator the
same nonzero constant... - will change the value of the fraction
If a fraction is between 0 and 1, adding a positive constant to top and bottom
will...
Subtracting from the top and bottom of this fraction a positive constant will... -
Make the fraction larger
Make the fraction smaller (as long as it's still + )
If a fraction is greater than 1, adding a positive constant to top and bottom will...
Subtracting from the top and bottom of this fraction a positive constant will... -
Make the fraction smaller
Make the fraction larger (as long as it's still +)
, GMAT - Target TestPrep Exam
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
