What are 5 ways to use fractions

Fractions only in math class?

You find breaks not only in school, but also in your everyday life.

When preparing instructions for a delicious spritzer, fractions are sometimes given.

You can find fractions in a recipe for making a cake.

If you create a list of drinks with liters for a party, there is no avoiding fractions.

Or you want to know how many people can drink your homemade punch. For this you need the fraction calculation.

In memory of

How were all the rules for calculating with fractions again?
Here you have everything at a glance:

Calculation type Calculation rule Result Shorten?
addition
$$+$$
Form the main denominator and add the counterstotalcalculate first, then shorten
subtraction
$$-$$
Form the main denominator and subtract the second from the first numerator difference calculate first, then shorten
multiplication
$$*$$
Numerator times numerator and denominator times denominatorproductFirst cut the bill.
division
$$:$$
First fraction times the reciprocal of the second fractionquotientfirst reciprocal, then shorten, then calculate

Fractions add up in everyday life

You want a spritzer $$ 4/5 $$ $$ l $$ Apple juice and $$ 3/5 $$ $$ l $$ Prepare mineral water.



How many liters of spritzer do you get?

You can do this with a Number line to solve.

You can also images to draw:



Or you turn them over Calculation rules at:

$$4/5 + 3/5 = 7/5 $$

Convert the improper fraction to a mixed number:

$$7/5 = 1 2/5 $$

You get spritzer or something else.

For more difficult tasks with unlike fractions or mixed numbers, it may be easier to use the calculation rules. Sometimes you are faster with these.

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Subtract fractions in everyday life

You want to bake a cake. Be for the dough $$ 3/8 $$ $$ l $$ Milk needed. You open a new milk carton. This contains $$ 1 $$ $$ l $$.



How many liters of milk are left in the milk carton?

You can do this with a Number line to solve:



You can also have a Cake model use:



Or you turn them over Calculation rules at:

Convert $$ 1 $$ $$ l $$ to eighths. That pays off easier.
$$ 1 $$ $$ l = 8/8 $$ $$ l $$

$$8/8 - 3/8 = 5/8 $$

There is still milk in the milk carton.

As with addition, it may be easier to use the calculation rules for more difficult tasks with unlike fractions or mixed numbers.

Fractions multiply in everyday life

For a party, you need roughly $$ 4 $$ $$ l $$ mineral water.
Stand in your pantry 6 Bottles of mineral water. Each bottle contains $$ 3/4 $$ $$ l $$. Your mother asks you if there is enough water for the guests or if you need to buy something again.



How many liters of mineral water are in the chamber?

You can do this with parcel to solve:



But you can also do that Calculation rules apply:

$$ 3/4 cdot 6 = (3 cdot 6) / 4 = 18/4 $$

No matter which method you use, the result is $$ 18/4 $$.

You can shorten that with 2: $$ 18/4 = 9/2 $$
And convert it to a mixed number: $$ 9/2 = 4 1/2 $$

There is still water in the storage room. That should be enough for the party.

As with addition, it may be easier to use the calculation rules for more difficult tasks with unlike fractions or mixed numbers.

Dividing fractions in everyday life

For your garden party you mixed $$ 4 $$ $$ l $$ strawberry punch. You bought drinking cups with a capacity of $$ 1/5 $$ $$ l $$.



How many cups can you fill with strawberry punch?

You can do this with a Number line to solve. Mark 1, 2, 3 and 4 on the number line for the 4 liters. The drinking cup holds $$ 1/5 $$ of a liter. So divide a unit into 5 parts. Count the fifths up to 4. It's 20 fifths.



But you can also do that Calculation rules apply:
How often does $$ 1/5 $$ fit into the $$ 4 $$ $$ l $$?

$$4 : 1/5 = 4 * 5/1 = 4*5 = 20$$


Drinking cups can be filled with $$ 4 $$ $$ l $$ strawberry punch.

As with addition, it may be easier to use the calculation rules for more difficult tasks with unlike fractions or mixed numbers.

kapiert.decan do more:

  • interactive exercises
    and tests
  • individual classwork trainer
  • Learning manager