We'll be looking at fraction fruit sets on Mathletics today, this one can be a tricky one so let's break it down.
Here's an example of a question - show 12 pieces of fruit where 1/6 is made up of oranges, and the rest is apples. As you can see, the answer is that you need 2 oranges and 10 apples.
But, I'm more interested in how we get the answer.
So, we know we need 12 total bits of fruit.
Of those, 1/6 is made up of oranges. Let's think of what fractions are - division. Asking 1/6 of 12 is EXACTLY the same sum as saying 12 divided by 6, or 12 ÷ 6. It's just a different way of setting it out. 1/3 of 12 would be 12 ÷ 3, 1/2 of 12 would be 12 ÷ 2 and so on - divide by the denominator, that's what that number at the bottom is telling you, how many to divide by.
So, what is 1/6 of 12, or 12 ÷ 6? Let's think of another way of saying division, although you might know this one already. I like to look on it as backwards times tables - 12 ÷ 6 is asking my 6 x ???? = 12. If you know your 6 times tables, you'll know that 6 x 2 = 12, so 2 is our answer.
So we know we've got 2 oranges.
But we've got 12 pieces of fruit altogether. How many more apples do we need to make 12, if we've already got 2 oranges? You've probably figured it out - 10, because 2 + 10 = 12.
Log onto Mathletics and have a go at the fruit fractions, and remember - division, fractions, same thing!