To subtract fractions with
first use multiplication to create equivalent
fractions with the SAME denominators. Then
subtract the numerators first . Subtract any whole
numbers second. Keep the denominator he same
and simplify the answer.
Subtraction with Borrowing
Sometimes when subtracting you may find you don’t
have enough value in the top fraction’s numerator to
do the subtraction. When this happens we borrow
from the whole number, adding the borrowed whole
number to the existing fraction to increase its value.
whole number, it is written as fraction with the same
numerator/same denominator (one whole). This
whole is then ADDED to the existing fraction to combine the two into a new , improper fraction, which
we then use for subtracting.
Multiplication of Fractions:
When multiplying fractions, IT DOES NOT MATTER
whether the denominators are the same or different!
However, you cannot multiply mixed numbers – you must change them to
improper fractions. Also, you can
sometimes use the process called cancellation before multiplying. Using
cancellation can save you from having
to simplify your answer. To use cancellation, before multiplying, FACTOR
all numbers to prime & rewrite the
problem. Now cancel any “ common factors ” shared in ANY numerator with
ANY denominator. Multiply any
remaining factors to finish and simply your final answer.
To divide fractions you must first change any whole
or mixed numbers to improper fractions. Then invert (or
flip) EVERY fraction that directly follows a division sign . You should
then factor each numerator & denominator to
prime so you can cancel common factors. Multiply any factors that remain
and simplify your answer.
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