## Fun with Fractions

Now that Múinteoir Clíona has shown you how to multiply fractions with whole numbers and multiply fractions by fractions using real-life examples, why not try our Fun with Fractions quizzes?

Have a look at our examples below and don't forget to simplify where possible! [Answers at the bottom of the sheet]

Example:  Multiplying a Fraction by a Whole Number

Ben is having a pizza party. Each person at the party will eat 3/8 of a pizza. If 6 people are coming to the party, how many pizzas does Ben need for them?

Solution:  6 × 3/8 = 18/8 =>[Turn this into a Mixed Number] => 2 2/8 => [Simplify the fraction] => 2 ¼.  Ben needs 2 ¼ pizzas.

He should probably get 3 pizzas so he can have some to eat as well.  Otherwise, it won't be a fun party for the birthday boy, will it?

Now try these!

1) Louise went to the Gaeltacht to study Irish for 5 days.  Each class lasted 4/5 of an hour each day.  How many hours did Louise spend learning Irish?

2) Mr. O’Connell baked 6 pies for his bakery. His recipe needed 4/9 of a bag of flour for each pie.  How much flour did he use?

3) Anne Marie swam 1 1/3 km on Wednesday, Thursday, Friday, Saturday and Sunday.  How many kilometres did she swim in total?

Example: Multiplying a Fraction by a Fraction

Joan is a painter. In March she used 4/5 of a litre of paint.  In April she used 2/3 of the amount of paint that she used in March.  How much paint did she use in April?

Solution:  2/3 x 4/5 = 8/15 litre.

Now try these!

1) Mark had a box of carrots, of which he gave 1/2 to his friend James.  James gave 3/4 of his share to his friend Emma. What fraction of the original box of carrots did Elena get?

2) There are 7/8 kilograms of salt in the kitchen. Michael used 2/15 of the salt when he was preparing dinner. How much salt did he use?

3) Lee spent ¾ of his pocket money on art materials. Of the money he spent on art materials, 5/6 was spent on coloured card.  What fraction of his pocket money did Lee spend on coloured card?

ANSWERS:  Multiplying a Fraction by a Whole Number

5 × 4/5 = 20/5 = 4 hours learning Irish.

6 x 4/9 = 24/9 = 2 6/9 = 2 2/3 bags of flour.

1 × 5 = 5km => 1/3 × 5 = 5/3 = 1 2/3km => 5km + 1 2/3km = 6 2/3

ANSWERS:  Multiplying a Fraction by a Fraction

½ x ¾ = 3/8 of the original box.

7/8 x 2/15 = 14/120 => 7/60 kg of salt.

¾ x 5/6 = [remember to cross divide –> 3 goes into 6 twice] = 5/8 of his pocket money.