Use a unit fraction with either conversion
to convert the units round to the hundredths' place value.
In this video, I will show both unit fractions
based upon both conversions.
In the first example, we are asked
to convert 95 kilograms to pounds.
We'd begin by writing 95 kilograms as a fraction,
with a denominator of one.
And now we multiply by a unit fraction
to convert kilograms to pounds.
The important thing to recognize here
is you want kilogram to simplify out,
leaving us with pounds, and right now we have kilograms
in the numerator, which means, for the unit fraction,
kilograms must be in the denominator
and pounds must be in the numerator.
An' now, if we use the first conversion of one pound
is approximately 0.454 kilograms,
one possible unit fraction is one pound
over 0.454 kilograms.
If we use a second conversion
of one kilogram is approximately 2.205 pounds,
a second possible unit fraction would be
2.205 pounds over one kilogram.
Notice, in both cases, we have kilograms divided
by kilograms, and therefore the units of kilograms
simplify out, leaving us with pounds.
And now we multiply.
We have 95 times one, which is 95,
over one times 0.454,
which is 0.454, and now the units are pounds,
and in the second conversion,
notice how the denominator is one.
When we multiply, we just have 95
times 2.205, and again,
the units are pounds.
And now let's determine the quotient and product
on the calculator, and again,
we are told to round to the hundredths' place value.
Notice for the quotient,
if we round to the hundredths' place value,
we round down, and therefore we have approximately
209.25 pounds, and then for the product,
there's a five in the hundredths' place value,
and therefore we round up,
and we have approximately 209.48 pounds.
Notice how there is a slight difference
in the number of pounds,
and that's because these conversions are approximations.
But again, the Homeric System will accept either conversion.
Let's go ahead and use this first conversion here
of approximately 209.25 pounds.
And now let's convert 175 pounds to kilograms.
We first write 175 pounds as a fraction,
with a denominator of one,
and now we multiply by a unit fraction
to perform the conversion.
But notice out here we have pounds in the numerator
and we want pounds to simplify out,
leaving us with kilograms, which means this time,
in the unit fraction we must have pounds in the denominator
and kilograms in the numerator.
Using the first conversion,
one possible unit fraction would be
0.454 kilograms over one pound.
Using the second conversion, a second possible unit fraction
would be one kilogram
over 2.205 pounds.
Again, in both cases, notice how we have pounds
divided by pounds, and therefore the units
of pounds simplify out, leaving us with kilograms.
And now in this first product, notice how we have
a denominator of one, and therefore
we just have 175 times 0.454,
and the units are now kilograms.
And now, for the second product,
we will still have a quotient after multiplying, we have 175
divided by 2.205,
and the units are kilograms.
And now, let's go back to the calculator
and determine this product and this quotient.
And again, we're told to round
to the hundredths' place value.
For the product, we have 79.45 kilograms,
and then for the quotient,
rounding to the hundredths' place value,
we have approximately 79.37 kilograms.
And again, there is a slight variation
because these conversions are approximations,
either answer is acceptable.
Let's go ahead and use 79.45 kilograms.
I hope you found this helpful.