Question

Derry says"I am thinking of a fraction. My fraction is bigger than 1/2 but smaller than 2/3. The numerator and the denominator of my fraction are both single digit numbers." What fraction could Derry be thinking of? Show your working out (3)

Answer 1

How about we put the fractions into decimals?

1/2 is 0.5
2/3 is 0.66666(6)

So we need to find something that is between them.

the denominator can't be 2, because bigger than 1/2 is 2/2, which is 1 and is bigger than 0.6

it also  can't be 3, because smaller than 2/3 is 1/2, which is 0.333... and is smaller than 0.5.

Can it be 4? we can't have 2/4 (it's the same as 1/2), or 3/4, it's 0.75, and it's bigger than 0.666...


how about 5?

2/5=0.4,no, too small

3/5=0.6- perfect! that's the answer!