Fractions

Question 1

Fast fraction shortcut

Answer 1

Cross multiply and add (or subtract) the products. Then place the sum (or difference) over the product of the denominators

Question 2

Key to multiplying fractions

Answer 2

Break them down

Question 3

Dividing fractions

Answer 3

Flip the second fraction, BREAK DOWN NUMBERS, and then multiply

Question 4

Complex numerator shortcut

Answer 4

Numerator of a complex fraction contains addition or subtraction, the fraction can be split as follows
(1+2)/6 –> 1/6 + 2/6 –>3/6 –>1/2

Question 5

Reciprocal

Answer 5

Any two numbers whose products equals +1.
Some may not look like reciprocal such (1/sq.rt.3 * 3/sq.rt.3 = 3/3=1)
Some have more than one reciprocal (1/sq.rt.3 * sq.rt.3/1 = 1)

Question 6

To compare fractions

Answer 6

Multiply from the bottom up (cross -multiply) and write the product over the corresponding numerator.

Question 7

Positive integer X a proper fraction

Answer 7

…makes the value smaller

10 * (1/2) = 5

Question 8

Dividing a positive value by a proper fraction…

Answer 8

…makes the value bigger

10 / (1/2) = 20

Question 9

Squaring a proper fraction…

Answer 9

…makes the fraction smaller

1/2)^2 = (1/4

Question 10

Taking the square root of a proper fraction…

Answer 10

…makes the fraction bigger

Square root of (1/2) = 0.71

Question 11

FUQ - Fractions with unspecified quantities

Answer 11

Pick a number equal to the product of EVERY denominator in the problem