### Video Transcript

Hannah’s shopping bag weighs 51
sevenths pounds. Express the bag’s weight as a mixed
number.

A mixed number is a whole number
plus a proper fraction. We need to take this 51 over seven
and break it into two parts, a whole number and a proper fraction. To do that, let’s do some
division. Let’s divide 51 by seven. How many times can seven go into
51?

I know that seven times seven
equals 49. And that’s pretty close to 51. So let’s try seven. We multiply seven times seven,
which equals 49. And then we subtract 51 minus 49
equals two. So seven goes into 51 seven times,
with a remainder of two.

Since seven goes into 51 seven
times, the whole number piece of our mixed number is seven. We can use this remainder to find
the proper fraction piece. The remainder becomes the numerator
of our proper fraction. And the divisor becomes the
denominator. In fact, the denominator stays the
same from the original improper fraction.

Now that we have the two pieces, we
can put them together. 51 over seven written as a mixed
number is seven and two-sevenths. Hannah’s bag weighed seven and
two-sevenths pounds.