Equivalent fractions
Operations
Problems
Theory
Diagrams
100
Explain what is to simplify a fraction and, then, simplify 24/32
To simplify is to divide numerator and denominator by the same number to obtain an equivalent fraction. 24/32 (simplified by 8) = 3/4
100
Operate and simplify: 3/6 · (-5) · (-3/5)
3/2
100
We have consumed 3 kg of laundry soap from a 5kg container. Which is the remaining fraction?
2/5
100
What kind of fractions is it possible to add?
Fractions with the same denominator
100
Represent 2/3 of a 24 hour day in a diagram
The teacher will say if the answer is correct
200
Simplify 60/180. Say the rules of divisibility that you need to use.
Both numbers are divisible by 10 because both end in zero. So we get 6/18. Both numbers are divisible by 2 because boty are even numbers. Both numbers are divisible by 3 because the addition of their numbers are divisible by 3 (3 and 9). The irreducible fraction is 1/3.
200
Operate and simplify: 2/5 : 2 : 2/5
1/2
200
How many grams represent a quarter of half a Kg?
1/8 of Kg, that is, 125 grams
200
How do we order fractions with the same numerator? Explain your answer.
The largest one is the one with the smallest denominator because the slices of the unit are bigger.
200
Represent the following data in a diagram: There are 28 students in a class. 3/7 are girls and the number of boys is 16.
The teacher will say if the answer is correct.
300
Which is the missing number? 24/x = 36/63
x = 42
300
23/28 - 4/7 - 2 + 5/2
3/4
300
The capacity of a can of soft drink is 1/3 of litre. A group of friends buys 60 cans. Calculate the number of litres.
20 litres
300
What are equivalent fractions?
They are fractions that represent the same part of the unit.
300
Represent the following data in a diagram: A tank with a capacity of 200 litres has 70 litres of water. Which is the fraction (simplified) of the consumed water?
The teacher will say if the diagram is correct. The consumed fraction of water is 130/200 = 13/20
400
Express the fraction 14/70 so that the denominator is 30
6/30
400
1/2 · ( 4/3 - 1/6 · 3/4)
29/48
400
The annual income of a family is 3600 €. They spend 2/9 on the house rent, 3/12 on food, 4/15 on clothes and 2/20 on leisure activities. Which is the total expenditure?
We calculate the total fraction: 142/180 and, then, we calculate the total expenditure: 2840 euros.
400
What is the inverse of a fraction?
It is another fraction whose numerator is the denominator of the first one and whose denominator is the numerator of the first one.
400
Represent the following information in a diagram: In an international contest, 2/5 are European, 1/2 are American and the remaining 20 people are Asian. What is the fraction of Asian people?
The teacher will say if the diagram is correct. 1/10
500
Amplify these fractions so that they have the same denominator: 7/24, 1/6 and 3/16
lcm = 48; 7/24 = 14/48; 1/6 = 8/48 and 3/16 = 9/48.
500
[ ( 5/3 - 1/2 ) : 7 + 1/3 ] · 2
1
500
Pablo buys a computer. He pays one quarter the first month and 1/6 the second month. The third and last month he pays 350 €. What is the price of the computer?
It costs 600 euros.
500
Why do we have to amplify fraction so that they have the same denomintor in order to add or subtract them?
Because we can only add or subtract similar pieces. When we have fractions with different denominators, the pieces are not equal, so we cannot add or subtract them.
500
Represent the following data in a diagram: One half plus one third of my age equals 30. Calculate it.
The teacher will say if the diagram is correct. 1/2 + 1/3 = 5/6 (represent 30 years). So, 1/6 represents 6 years. His age is 6·6 = 36 years.
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