Convert Between Pounds and Kilograms Using a Unit Fraction
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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.

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