Fraction= Numerater/Denominator
Create Fractures in glasses of water and measure with decemi-volume
Decimal number of fractions (you need a few equal glasses, containing one liter and the decemi-Volume material)
½ liter: Just fill the 10 Deciliter glas of decemi and take the two equal, zylindric glasses. Then let it apportion in the two liter glases, by pouring always amounts of deciliters in the glas, so it is on the same waterlevel (eventually control it with a bubble level). Then let guess, how much will be in each glas and measure it with the 10 Deziliter-glas. Let the 10 Dezis of the liter count to control, that it must be exactly 5 Deziliter in the Glas an no milliliter more. Note your result in a table marked with ½l, Add the comma between the 0 at liters and the 5 at deziliters and write at the end of the line the liter, too.
¼liter. Apportion the liter into 4 glasses, while pouring first amounts of deciliters in each. Devision bevor pouring will make it faster. Two will exactly remain. Note the 2 deciliters of each in your table. Guess how many 10- Centiliter-glasses will get full now and how many Centiliters each glass will get. Fill one of the Deciliters in the 10-Centiliter-glas and share it equal. Note the 5 centiliters as well Note. Add the comma and liter to see the result in liter.
Do the same with 1/5l, 1/8l, 1/10. At 1/8 you need to apportion the last 4 centiliters as well with the 10-Milliliterglas.
1/3 liter: Apportion the liter into 3 glasses, while pouring first amounts of deciliters in each. Devision bevor pouring will make it faster. One will exactly remain. Note the 3 deciliters in your table. Pour the rest in the 10- Centiliter-glas. One centiliter will still remain. Note the 3 centiliters as well and pour the one centiliter in the 10 Milliliter-glas. Note the 3 milliliters as well and note that one must be still be apportioned into three. Add the comma and liter. You can stop here or take a 10 0,1-milliliter syringe and tell about the 100 micro(mite)liter to add another 3 and let guess how many of the 10 micromite, the 1micomite and 100nano(neadletops)liter…if interested. Make the same for 1/6l and 1/9l to see the 10 fraktions. You can build a picture of it described in funktions.
Fractionpart of something
You need equal, cylindric glasses (at least as much as your Denominator reaches)
½ of 300t. Take ml instead of t. write the 300 in the table of Volume. Fill up the 10-Deciliterglas to 3 Deciliter and apportion it like described above. Translate the solution back to your problem of ½ of 300t.
Maths with fractions:
1/2+1/2 : fill a glas full, the apportion the glas into 2. Let the empty glas vanish and note ½ +1/2 =2/2 and let it pour together in one glas to get one full glas back=1.
1/3+1/3 = 2/3 Now apportion into 3 and set the empty and the 1/3 glas away. Note 1/3+1/3= Mark the one third on the glas with a tape and pour it together. Mark 2/3 and note.
2/3+1/3= Pour 1/3 glas tot he 2/3 glas and say 3/3=1
Make another countings like 2/5+1/5 =? 4/8+5/8 until understanding.