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The issue is that it's ratios, not fractions. 1:3. You take 1:3 and 1:3 and it's still 1:3 or 2:6. You haven't changed the ratio for this at all by showing it a
by DigitallyFidget 6y ago
The issue is that it's ratios, not fractions. 1:3. You take 1:3 and 1:3 and it's still 1:3 or 2:6. You haven't changed the ratio for this at all by showing it as fractions, it's simply being represented and presented without correct context.
- mjevans 6y agoAnother way of labeling this: : = Out Of A = Table A B = Table B E = Every Table Added (A + B) 1:3 * A + 1:3 * B = (1:3 + 1:3) * E 2 out of 6 among Every Table Added
- Wowfunhappy 6y agoSomewhat aside, but in grade school I recall learning that ratios were written [group-A]:[group-B], not [group-A]:[total]. So the girl-boy ratio at the table would be 1:2. Different for you?
- saagarjha 6y agoIt really depends on the two things being compared. The ratio of boys to girls is 1:2, but the ratio of boys (implicitly: to the total) is 1:3.
- TeMPOraL 6y agoIsn't this why you end up seeing these "silly" units like kg/kg in chemistry? So that, while the value is technically dimensionless, it doesn't get added to another dimensionless value (e.g. l/l) that's a ratio of values of a different dimension?
- romwell 6y agoThis hits the nail on the head: 1 (person at table A) / 3 (people at table A) can't be added to 1 (person at table B) / 3 (people at table B) without conversion of units.
- dwild 6y agoAnd then it's easy to make them see how her answer was right in its own way by adding another unit, (person at table a+b and people at table a+b) and show why it may be harder to works like that for now. I heard so many people complains that each year in maths they would essentially learn that everything they learned the year before was wrong... can we fix that please?!
- matt-attack 6y agoWhy? Each is a pure number without units. Since the units cancel in each term.