Fractions

What is the mean of 1.2 recurring and 2.1 recurring?

Using some or all of the operations of addition, subtraction, multiplication and division and using the digits 3, 3, 8 and 8 each once and only once make an expression equal to 24.

What fraction of the volume of this can is filled with lemonade?

Can you work out the height of Baby Bear's chair and whose bed is whose if all the things the three bears have are in the same proportions?

The information display on a train shows letters by illuminating dots in a rectangular array. What fraction of the dots in this array is illuminated?

What fractions of the largest circle are the two shaded regions?

In a certain community two thirds of the adult men are married to three quarters of the adult women. How many adults would there be in the smallest community of this type?

What fractions can you find between the square roots of 65 and 67?

Consider the equation 1/a + 1/b + 1/c = 1 where a, b and c are natural numbers and 0 < a < b < c. Prove that there is only one set of values which satisfy this equation.

If three brothers will get £20 more if they do not share their money with their sister, how much money is there?