How would you write 22/6 as a simplified mixed number?

I would first look at how many times 6 goes into 22.

E.g.

22/6 = 3 remainder 4

This is because 3 X 6 is 18 and then you have a remainder of 4 to get to 22.

To write this as a simplified mixed number write 3 2/6

find out how many times 6 goes into 22, without going over = 3

what is the remainder? = 4 so the remainder is 4/6

then you would need to simplify the 4/6. what times table has both a 4and a 6 in? = 2

so divide both numbers by 2 = 2/3

final answer 3 2/3

Firstly we want to work out how many whole sixes are in 22.... 6, 12, 18. So there are 3 full set of six, plus 4 left over.

To right this as a mixed number we would write the number of full sets of 6 plus any remaining in a fraction. So, 3 full sets with 4 left over would be 3 4/6. This can then be simplified to 3 2/3

Divide 22 by 6:

• 22 ÷ 6 = 3 remainder 4
• This means 22/6 can be written as 3 4/6.

Simplify the fraction 4/6:

• The greatest common divisor of 4 and 6 is 2.
• Divide both the numerator and denominator by 2:
• 4/6 = 2/3

So, the simplified mixed number is:

3 2/3.