Welcome to How to Divide a Whole Number by a Fraction with Mr. J! Need help with dividing a whole number by a fraction? You're in the right place!
Whether you're just starting out, or need a quick refresher, this is the video for you if you're looking for help with dividing whole numbers by fractions. Mr. J will go through dividing whole numbers by fractions examples and explain the steps of how to divide a whole number by a fraction.
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Hopefully this video is what you're looking for when it comes to dividing a whole numbers by a fraction.
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welcome to math with mr j
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in this video i'm going to cover how to
divide a whole number by a fraction now
when working with fractions and division
we need to remember three steps keep
switch flip we can also think multiply
by the reciprocal when we flip a
fraction that's called the reciprocal so
this means we're going to use
multiplication to solve these this
actually makes the process simpler now
how and why this works is a topic for
another video i'll drop that link down
in the description
let's jump into number one where we have
two divided by one fourth now we can
think of this as how many one fourths
are in two or how many one-fourths can
we make out of two we are dividing two
by 1 4. let's rewrite our problem using
keep switch flip also known as
multiplying by the reciprocal
so we start with keep we always keep the
first number or fraction in the case of
number one we have a whole two so we
need to keep that
as two but we're going to rewrite it as
a fraction whenever you rewrite a whole
number and put it in fractional form all
you need to do is put it over 1. now the
purpose of this we want to have a
numerator and a denominator so we kept
the value of 2 there we just put it in
fractional form then we switch from
division
to multiplication
and since we switched to the inverse or
opposite of division we're going to need
to flip
the second number or fraction
in the case of number one here we have a
fraction so the denominator is now going
to be the numerator and the numerator is
now going to be the denominator so we
have 4
over
1. once we get to this point we have a
multiplying fractions problem which we
just multiply straight across when we
multiply fractions so 2 times 4
is 8
and one times one
is one
so we get to the answer of eight over
one which is an improper fraction so we
do not wanna leave it like that this is
going to be
eight our final answer is eight two
divided by one fourth equals eight
let's move on to number two where we
have seven divided by two fifths so we
are finding out how many two-fifths are
in seven so to speak so keep switch flip
we will keep our seven
but put it in fractional form by putting
it over one
switch to multiplication
and then
flip
our second number or fraction
now we can multiply straight across 7
times 5
is 35
and 1 times 2
equals 2. so our answer is 35 over 2.
now we don't want to leave it improper
we want to convert this to a mixed
number so we do 35 divided by 2. how
many whole groups of 2 are in 35
well 17
so that's our whole number of our mixed
number
now we didn't hit 35 exactly we had a
remainder of 1 so that's our numerator
of the fractional part and then we keep
our denominator of 2 the same so 17 and
a half always look to see if you can
simplify the fractional part
one-half is in simplest form
so we are done our final answer 17 and a
half
so there you have it there's how you
divide a whole number by a fraction keep
switch flip also known as multiplying by
the reciprocal
i hope that helped
thanks so much for watching
until next time
peace
