Fractions Flashcards
multiply two fractions
multiply numerators, then multiply denominators
multiply large or complex fractions
rip up the numerators and denominators, cancel out common terms, see what remains
divide fractions
flip the second fraction and multiply numerators and then the denominators
dividing large complex numbers
flip the fraction,
rip up numerators and denominators,
cancel out common terms
express what remains
complex fractions
cannot be ripped up
must carry out addition and subtraction in the numerator or denominator before simplifying resulting the fraction
terms within complex fractions can never be cancelled
complex numerator shortcut
if the numerator of a fraction contains addition or subtraction, the fraction can be split to simplify the arithmetic
DENOMINATORS CAN NEVER BE SPLIT
recriprocals
commonly flips of fractions, but not always
fractions may have more than one reciprocal
always multiple together to ensure it’s actually a reciprocal
simplify fractions with fractions in the numerator and/or denominator
multiple the numerator by the flip of the denominator
if the denominator has a fraction
put the numerator over one and multiple the numerator by the flip of the denominator
if the numerator has a fractoin but the denominator doesn’t
put the denominator over a 1, flip it and then multiple the numerator by the newly flipped denominator
fractions within fractions within fractions
work one level at a time
if numerator of a fraction is 0
fraction = 0
if denominator of fraction is 0
undefined
proper fraction
numerator < denominator
1 > fraction value > 0
positive proper fractions
behave in opposite way of other positive numbers
- multiplying: whole number x fraction = smaller number than whole number
- squaring: fraction^x = smaller than original number
- dividing: whole number / fraction = number larger than whole number
- taking square root: root is larger than original number
