Fractions

Mike and Monisha meet at the race track, which is 400m round. Just to make a point, Mike runs anticlockwise whilst Monisha runs clockwise. Where will they meet on their way around and will they ever meet at the start again? If so, after how many circuits?

Which of these fractions is the largest?

Which of the areas shown in the hexagons are equal to each other?

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?

The Pythagoreans noticed that nice simple ratios of string length made nice sounds together.

What would you get if you continued this sequence of fraction sums? 1/2 + 2/1 = 2/3 + 3/2 = 3/4 + 4/3 =

Which of these continued fractions is bigger and why?

When if ever do you get the right answer if you add two fractions by adding the numerators and adding the denominators?

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

Weekly Problem 21 - 2012
Two rectangles are drawn in a rectangle. What fraction of the rectangle is shaded?