Operations on common and decimal fractions
Działania na ułamkach zwykłych i dziesiętnych
Learning objectives
You will learn to do operations on common and decimal fractions and apply this skill to do text exercises.
Learning effect
You do operations on common and decimal fractions and apply this skill to do text exercises.
Revise rules of operations on common fractions and rules of operations on decimal fractions.
Open the interactive illustration and think about what operation needs to be done first to be able to add common and decimal fractiondecimal fraction.
After having completed the exercise, they draw a conclusion and compare it with the following one.
Conclusion:
If there are both common and decimal fractions in calculations, we need to convert them to the same form, that is convert common fractions to decimals or decimals to common fractions and then do calculations.
Think if we can always convert a common fractioncommon fraction into a decimal and a decimal into a common fractions. Revise methods of converting fractionsconverting fractions. Do you have following information in your notes?
A decimal fractiondecimal fraction can always be converted into a common fractioncommon fraction by writing it using the fraction bar.
A common, simplified fraction can be converted into a decimal only if the only divisorsdivisors of its denominator are numbers 2 or 5.
Using obtained knowledge, do three exercises from each region.
Region I – addition.
Tasks for 1 point.
1. Do the addition:
2. Do the addition:
3. Do the addition:
4. Do the addition:
Task for 2 points.
5. Mum made a drink out of 4,75 kg of plums, kg of apples kg of strawberries. How many kilograms of fruits did she use?
Region II – subtraction.
Tasks for 1 point.
1. Do the subtraction:
2. Do the subtraction:
3. Do the subtraction:
4. Do the subtraction:
Task for 2 points.
5. Ania bought green ribbon and m of blue ribbon. How many metres of green ribbon did she buy if together there was 8,5 m of ribbon?
Region III – multiplication.
Tasks for 1 point.
1. Do the multiplication:
2. Do the multiplication:
3. Do the multiplication:
4. Do the multiplication:
Task for 2 points.
5. A kilogram of pears costs 3,3 zł. How much will we pay for kg of pears?
Region IV – division.
Tasks for 1 point.
1. Do the division:
2. Do the division:
3. Do the division:
4. Do the division:
Task for 2 points.
5. The area of a rectangle is 6,25 cmIndeks górny 22, and the length of one side is cm. Calculate the length of the other side of the rectangle.
An extra task:
The quotientquotient of two numbers is equal to , and the divisor is smaller than the quotient. Calculate the dividend.
Remember:
If there are both common and decimal fractions in calculations, we need to convert them to the same form, that is convert common fractions to decimals or decimals to common fractions and then do calculations.
A decimal fractiondecimal fraction can always be converted into a common fractioncommon fraction by writing it using the fraction bar.
A common, simplified fraction can be converted into a decimal only if the only divisorsdivisors of its denominator are numbers 2 or 5.
Do the revision exercises.
Exercises
The number is the result of the division.
Calculate by how much the sum of numbers and 0,25 is greater than the product of these numbers.
Kasia bought a kilogram of apples and a kilogram of peaches and she paid 12,5 zł. Calculate the price of 1 kg of these fruits if we know that the price of 1 kilogram of apples is of the price of 1 kilogram of peaches. Give the solution and the answer in English.
Indicate which pairs of expressions or words are translated correctly.
- ułamek dziesiętny - decimal fraction
- ułamek zwykły - common fraction
- zamiana ułamków - converting fractions
- działania na ułamkach - operation on fractions
- wynik działania - difference
- iloczyn - quotient
- zamiana ułamków
- operation on fractions
- ułamek zwykły
- result of the operation
- wynik działania
- ułamek dziesiętny
- decimal fraction
- działania na ułamkach
- converting fractions
- common fraction
Glossary
zamiana ułamków
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: converting fractions
ułamek zwykły
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: common fraction
ułamek dziesiętny
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: decimal fraction
różnica
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: difference
dzielniki
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: divisors
działania na ułamkach
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: operation on fractions
iloczyn
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: product
iloraz
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: quotient
wynik działania
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: result of the operation
suma
Nagranie dostępne na portalu epodreczniki.pl
wymowa w języku angielskim: sum
Keywords
common fractioncommon fraction
decimal fractiondecimal fraction
operation on fractionsoperation on fractions
result of the operationresult of the operation