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Let's figure out what eleven and twelve
sixteenths minus five in eight

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sixteenths is. We might have to
simplify it down to lowest terms.

3
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So the way I like to do these is the kind of
separate out the whole number part of

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the mixed numbers from the fractional
part.

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So I can rewrite this number right over
here as eleven

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plus twelve over sixteen.

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And from that I'm going to subtract and
I'll put parentaces here because I'm gonna break

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this part open

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I'm going to subtract, I'm going to subtract five plus

10
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eight over

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sixteen. Five and eight sixteenth, same thing
as five plus eight sixteenth,

12
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but remember I'm subtracting it

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I'm subtracting this whole thing so I
can rewrite it as a rewrite this part

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eleven

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plus twelve over sixteen.

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And I'm substracting five plus eigth sixteenth so I can distribute the negative

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sign.

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So it's going to be minus five,

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minus five, negative one times five. The
negative one times positive eight sixteenth

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so it's going to be minus,

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minus eight over sixteen.

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Minus eight over sixteen. And then I like
to do the whole number part separately

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and the fractional part separately.

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So let's do the whole number parts. We have
eleven minus five, right here, eleven

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minus five. Will do that part that's a
whole number part

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and then we have plus

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plus

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twelve sixteenth - let me do this in pink maybe - plus

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twelve sixteenth minus

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eight sixteenth

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minus eight

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over sixteen.

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And eleven minus five is six.

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And I have six plus - and the denominators are 
same here - so we're gonna get something

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over sixteen

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and twelve minus eight is four.

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So this is the same thing as six plus
four over sixteen, which is the same

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thing as writing is a mixed number

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six and four sixteenths.

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Six and four sixteenths. And this is

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the right quantity

42
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but we can simplify it. Four over sixteen
can be simplified. Both the numerator and the

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denominator are divisible by four. They both
have the factor four. Let's divide both

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the numerator and the denominator by four.

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Divided by four, divided by four, since we're dividing by the same thing we're not

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changing its quantity.

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And so this is equal to

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we still have a whole number part six

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but the fraction part is now one,

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one over four, so we get six and one
fourth.