# Video: KS2-M17 • Paper 1 • Question 30

2 1/3 + 5/6 = ＿.

02:56

### 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.