# Arithmetic problems with fractions

1.- In a marathon 1155 people begin to run, but 330 don’t finish the 42.195 metres of the race. What fraction of people get the goal?

2.- In a marathon 1155 people begin to run, but 2/7 don’t finish the 42.195 metres of the race. How many people get the goal?

3.- In a marathon only 825 persons ran the 42.195 metres of the race, this is 5/7 of the people who began the competition. How many people began the race?

4.- The keeper of an orchard plants 2/5 of it with melons and 1/3 with watermelons. What part of the orchard is free?

5.- The keeper of an orchard plants 2/5 of it with melons and 1/3 with watermelons. If he has 800 m2 free, what is the total area of the orchard?

6.- How many litres do we need to fill up 60 bottles of perfume of 3/20 litres?

7.- How many bottles of 3/20 l we fill up with four and a half litres of perfume?

8.- In the morning, we extract 2/3 of the volume of an irrigation tank that was full, and in the afternoon we extract 3/5 of the rest. What fraction of the tank is left at the end of the day?

**Exercises**:

1.- Billy collected 256 conkers but lost ¾ of them on his way to school through a hole in his bag. When he arrived at school, how many conkers did Billy have left?

2.- McDonalds sell milkshakes in two sizes. A small milkshake contains 300 ml and a large contains 2/3 more.

a) How much does a large milkshake contain?

b) If Mr Murrin drinks 2/3 of a small milkshake and Miss Hoyne 1/2 of a large one, who drinks the most?

3.- On monday, a gardener loped 2/7 of his rose brushes. On tuesday, he loped 3/5 of the rest. On wednesday, he finished the work by lopping the 20 rose brushes that remained. How many rose brushes does the gardener have?

Solutions:1) 192 conkers; 2)a) 500 ml; b) Miss Hoyne; c) 70 rose brushes

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