hey everyone Anthony here from mashup
math and thank you again for stopping by
on this mini lesson we are going to work
through a practice problem together and
take a visual approach to finding a
solution you ready hey everyone welcome
back and thank you for joining me on
this lesson where we are going to gain
some practice with multiplying fractions
so let's go ahead and model this
real-world situation Mackenzie is
preparing dinner for five guests at her
restaurant
and she wants to give each guest 3/8 of
a pound of noodles so we have five
guests and each one event is going to
receive 3/8 of a pound as a fraction 3
over 8 to 5 different people
and we're looking to figure out how many
pounds of noodles she will need to
prepare now we can model this by taking
that fraction 3 over 8 and multiplying
it by 5 total people so 3 over 8 times 5
so now that we have modeled this word
problem we can find the answer to the
question of how many pounds of noodles
she will need to prepare in total so
right now we have a fraction 3 over 8
being multiplied by 5 a whole number but
we're going to change 5 to a fraction by
rewriting it as 5 over 1 which we know
means the same thing and when
multiplying fractions we multiply the
numerators 3 times 5 which we know is 15
and we also multiply the denominators 8
times 1 which we know is just 8 and our
product is 15 over 8 now we should ask
ourselves can my answer be simplified
the answer in this case is yes we can
think of 15 over 8 in a different way we
can change 15 to 8 plus 7 because the
sum of 8 and 7 equals 15
now you may be wondering why we chose to
use eight and seven when there are many
more combos that could be used whose sum
would equal 15 we chose eight by default
because our denominator has a value of
eight and doing this allows us to slit
the fraction up and now we can see that
8 over 8 just equals 1 and this makes it
a lot easier for us to express our
answer as a mixed number
and so now we can conclude that she will
need 1 and 7/8 pounds of noodles in
total to serve her 5 guests so it may be
a good idea for you to go back and redo
this problem again and really think
about how we model this word problem and
how we applied our math skills and
concepts to finding a final answer
alright so that's it for that lesson I
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