Adding and Subtracting Fractions
Multiplying and Dividing Fractions
Mixed Numbers and Improper Fractions
Fractions of a Quantity
Mixed Operations using fracciones
Review
Review
100
Mary spend 1/4 of her money on a jumper and 3/8 of her money on a jacket. What fraction of her money did she spent? What fraction of her money does he have left? Write your fraction in the simplest form.
1/4 + 3/8 = 2/8 + 3/8 = 5/8
She spent 5/8 of her money.
She has 3/8 left.
100
Paul had 3000euros to spend. He lost 1/6 of it and spend 2/3 off it. How much money had he left?
1/6 x 3,000= (1x3,000)/6 = 500euros was lost
2/3 x 3,000=(2 x 3,000) /3 = 6,000/3 = 2,000 was spent.
3,000 - 500 = 2,500 euros
2,500 - 2,000 = 500 euros
What are 500 euros left.
100
Jason is carrying 5 bags. He has 2, each, of mass
3 1/2kg in his left hand and 3, each of mass 2 2/5 kg.
How much mass is he carrying in his left hand?
3 1/2 + 3 1/2 = 7/2 + 7/2 = 14/2 = 7kg
or
3 + 3 + 1/2 + 1/2 = 6 +1 = 7kg
He has 7kg in his left hand.
100
What is 1/3 of 69 euros?
What is 2/3 of 69 euros?
What is 4/3 of 69 euros?
69/3= 23 euros
(69 x 2) /3= 46 euros
(69 x 4) / 3 = 92 euros
100
There were 60 000 screaming fans at the Bustin Jieber concert last year.
- 2/5 of the spectators were teenage girls, ¼ of the spectators were teenage boys and the rest were parents.
- How many spectators were teenage girls?
- How many spectators were teenage boys?
- How many spectators were parents?
2/5 x 60 000 = (2 x 60 000) /5 = 120,000 / 5 = 24,000 are teenage girls
1/4 x 60 000 = (1 x 60 000) / 4 = 15 000 are teenage boys
24 000 + 15 000 = 39 000 teenage boys and girls
60 000 - 39 000 = 21,000 parents
200
In a book, 1/12 of the pages are taken up by photographs, 2/3 are filled up by text and the rest are diagrams. What fraction of the book is taken up by diagrams?
1/12 + 2/3 = 1/12 + 8/12 = 9/12
9/12 of the pages are filled using photographs and texts.
12/12 - 9/12 = 3/12
3/12 of the pages are filled using diagrams.
200
Kathleen spent 5/8 of her money on candy. She had 16 euros at the beginning. How much does she have left.
5/8 of 16 = (5x16)/8= 10 euros. She spent 10 euros.
She had 6 euros left.
200
Jason is carrying 5 bags. He has 2, each, of mass
3 1/2kg in his left hand and 3, each of mass 2 2/5 kg.
How much mass is he carrying in his right hand?
2 2/5 + 2 2/5 + 2 2/5 = 12/5 + 12/5 + 12/5 = 36/5 = 7 1/5 kg
or
2 2/5 + 2 2/5 + 2 2/5 = 6 + 6/5 = 6 + 1 1/5 =
7 1/5kg
200
Work out each of these fracciones of one hour. Provide your answers in minutes.
3/4 of an hour
5/6 of an hour
(3 x 60) /4 = 45 minutes
(5 x 60) /6 = 50 minutes
200
A recipe called for 2 and 1/3 cups of chopped spinach and 6 and 3/4 cups of diced spinach. In total, how many cups of spinach did the recipe call for?
2 1/3 + 6 3/4
= 7/3 + 27/4
= 28/12 + 81/12
= 109/12
= 9 1/12 cups of spinach
300
Michael had a piece of wood 5m long. He used 7/10 of it to make a shelf and 1/5 of it to make a table. How many m of wood were left?
7/10 x 5 = 35/10 = 3 5/10 = 3 1/2m
1/5 x 5 = 5/5 = 1m
5 - 3 1/2= 1 1/2
1 1/2 - 1= 1/2m left
300
If a car uses 1/3 of a tank of petrol on the first part of the journey, 2/5 of a tank on the second part and started with 30L of petrol, how many L of petrol have they got left?
1/3 + 2/5 = 5/15 + 6/15 = 11/15
(11/15) x 30 = (11x30) /15 = 22L
The tank has used 22L and there are 8L left.
300
Laura lives 5 1/4 km from school. Jim lives 2 2/3 km from school. How much further from school does Laura live from Jim?
5 1/4 - 2 2/3 = 21/4 - 8/3 = 63/12 - 32/12 = 31/12
= 2 7/12
They live 2 and 7/12 km apart.
300
Zeta has 800 euros. She speeds 3/4 of it on clothes.
How much money does she have? How much money does she have left?
3/4 of 800 = 3/4 x 800 = (3x800) /4 = 600 euros
She spent 600 euros on clothes and she has 200 euros left.
300
A recipe called for 2 and 1/3 cups of chopped spinach and 6 and 3/4 cups of diced spinach. In total, how many cups of spinach did the recipe call for? Look at the 200pt question for the answer.
The bag you bought holds 10 cups of spinach. How much spinach was left in the bag?
10 - 9 1/12
= 10 - 109/12
= 120/12 - 109/12
= 11/12
Or
10 - 9 1/12
= 10 -9 -1/12
= 1 - 1/12
= 12/12 - 1/12
= 11/12 cups of spinach left
400
John had 2L of buttermilk. He used 1 3/10L of the buttermilk to make bread. How many L of buttermilk was left?
2 - 1 3/10 = 2 - 13/10 = 20/10 - 13/10 = 7/10L
7/10L was left
400
A bottle of medicine contains 16g of medicine. Each dose of medication weighs 2/3 g. How many doses can you obtain from that bottle?
16 / (2/3) = 16 x (3/2) = 16x3 / 2 = 48/2 = 24
There are 24 doses.
400
At birth, triples weighed 3 3/4 kg, 3 1/2 kg, and
3 1/4kg. Four months later, they each weighed 5kg.
a) How much did they weigh at birth altogether?
3 3/4 + 3 1/2 + 3 1/4 = 3+3+3+3/4+1/2+1/4
=9 + 3/4 + 2/4 + 1/4 = 9 + 6/4 = 9 + 1 2/4
= 10 2/4 = 10 1/2
400
In the 300 point question, she has 200 euros left.
She spends 3/4 of that on food and 3/4 that's left on a hair do. How much does she spend on food? Hoy much does she spend on a hair do? How much does she have left in the end?
3/4 of 200 = 3/4 x 200 = (3x200) /4 = 150 euros.
She spent 150 euros on food. She has 50 euros left.
3/4 x 50 = (3x50) /4 = 37.50euros
She spent 37.50euros on a hairdo.
50.00 - 37.50 = 12.50 euros. She has 12.50 euros left.
400
Chef Marta used 3 4/5kg of white flour and 2 3/4kg of whole wheat flour to make the 40 pizzas. How many kg of flour did she use to make the 40 pizzas? Don't forget to simplify.
3 4/5 + 2 3/4
= 6 11/20 kg of flower
500
How much cake was eaten? Answer using a mixed number in the simples form.
1/2 + 5/4 + 1/3 + 1/4
6/12 + 15/12 + 4/12 + 3/12= 28/12= 2 4/12 =
2 1/3 of cake
500
You have 16 bananas and each smoothie requires 1/4 of a banana. How many smoothies can you make?
16 / (1/4) = 16 x (4/1) = 16 x 4 = 64 smoothies.
500
At birth, triples weighed 3 3/4 kg, 3 1/2 kg, and
3 1/4kg. Four months later, they each weighed 5kg.
b) How much weight has each one gained?
5 - 3 3/4kg = 5 - 15/4kg = 20/4 - 15/4 = 5/4 =
1 1/4kg
5 - 3 1/2 = 5 - 7/2 = 10/2 - 7/2 = 3/2 = 1 1/2 kg
5 - 3 1/4kg = 5 - 13/4 = 20/4 - 13/4 = 7/4 =
1 3/4kg
500
2/3 of 90 is the same as 3/4 of x
Find x
2/3 of 90= (2x90)/3 = 60
3/4 of x = 60
x = 80
500
Chef Marta used 3 4/5kg of white flour and 2 3/4kg of brown flour to make the 40 pizzas. How many kg of flour did she use to make the 40 pizzas? Don't forget to simplify. Look at the answer in the 400 pt question.
How much flour does she need to make 80 pizzas?
6 11/20 x 2
=131/20 x 2
=(131 x 2)/20
= 262/20
= 13 2/20
= 13 1/10kg