WALT: Find a fraction of a number using equal sharing

Solve these problems.  Please show your working.

Michael had 12 pencils.  One quarter of his pencils were red and the rest were black.  His friend, James  took one third.  How many pencils did James take?

= ⅓ of 12 = 12 ÷ 3 = 4 pencils

There were 18 students in a swimming pool. 1/9 of them were year 3 students.  One sixth of them were boys.  How many year 3 students were in the swimming pool?

= ⅑ of 18 = 18 ÷ 9 = 2 year 3 students

Robbie bought 20 pies.  He ate ⅕ of them with his friends and he took the rest home.  His brother got back from his rugby training and he ate one tenth.  How many pies did his brother eat?

= ⅒ of 20 = 20 ÷ 10 = 2 pies

Brian had 24 apple pies. She gave 1/2 of what he had to her friend Cindy. How many apple pies did Cindy get?

= ½ of 24 = 24 ÷ 2 = 12

Of the 36 students in Ashley's class, ¼ of them have a pet cat and 2/4 also have a dog as a pet. How many students in Ashley's class had a pet cat?

= ¼ of 36 = 36 ÷ 4 = 9 people have a pet cat

Kristy had bought 42 cupcakes for her birthday party. One seventh of them had chocolate icing.  When she got home her little sister ate 1/7 of it.  How many chocolate icing cup cakes had Kristy bought?

= ⅐ of 36 = 36 ÷ 7 = 2 chocolate icing cupcakes

My niece collected 48 yummy stickers.  Her best friend collected one eighth of what she had.  How many stickers did my niece’s best friend collect?

= ⅛ of 48 = 48 ÷ 8 = 6 yummy stickers

There are 28 students in room 10.  One seventh of them are vegetarian and two quarters wanted to go on a field trip.  How many vegetarian students are there in room 10?

= ⅐ of 28 = 28 ÷ 7 = 4 vegetarians

Gordon had 36 toy cars.  He sold 1/8 of them to his cousin John and his big brother took 1/6 of it.  How many toy cars did his big brother take?

= ⅙ of 36 = 36 ÷ 6 = 6 toy cars

Vincent was given $54 for his birthday.  Vincent spent 1/6 of his money on a new pair of glasses and he put the rest into his piggy bank.  How much was Vincent’s new pair of glasses?

= ⅙ of 54 = 54 ÷ 6 = 9 dollars