### Video Transcript

Two and one-third plus five-sixths
equals what?

The question is asking us to add
together two different types of number: a mixed number and a fraction. We can partition two and one-third
into its two parts: the whole number which is two and the fraction which is a
third. So we’re adding two plus a third
plus five-sixths.

We could add together the two
fractions first: one-third plus five-sixths. These two fractions have different
denominators. We’re being asked to add together
thirds and sixths. So before we can add these
fractions, we need to find a common denominator. We know that six is a multiple of
three. Three multiplied by two is six. So we need to find out how many
sixths are equivalent to one-third?

We’ve multiplied the denominator
three by two. So we need to do the same to the
number on top, the numerator. And one times two is two. So one-third is equal to
two-sixths. So now, we can add together two and
two-sixths and five-sixths.

Two-sixths plus five-sixths equals
seven-sixths. Seven-sixths is an improper
fraction. The numerator or the number on top
is larger than the denominator or the number on the bottom. Seven-sixths is the same as one
whole and one-sixth.

So the final step of the
calculation is to add together the two from earlier plus one and one-sixth. Two plus one is three plus the
sixth equals three and one-sixth. Two and one-third plus five-sixths
equals three and one-sixth. Three and one-sixth is equal to
nineteen sixths. Either of these answers is
correct.

Two and one-third plus five-sixths
equals three and one-sixth or nineteen sixths.