I'm studying basic algebra through Khan Academy at a late age (I'm in my 30s, but what I'm learning now is probably elementary to middle school).
The reason I didn't study math when I was younger was simply because I was stupid, and even though I'm studying now, I don't think that has changed.
Anyway, the part I don't understand is
In the ratio and proportionality unit
time×speed = distance
is a formula of the form
My confusion here is that
is the process of multiplying time when speed is a fraction.
I understand this algebraically
Time×Speed = Distance is
speed = distance/time and
distance/time(speed) × time = distance
But what I'm obsessing over here is this,
if 5/6 is a speed of 5 miles per 6 hours, then when you multiply that by 12 hours.
multiplied by the number in the numerator (5×12 = 60) divided by the number in the denominator, 6.
how does that divide into 5 miles per 6 hours?
How can the number 60 in the numerator be divided by 5 miles per 6 hours?
for example, if just 2/1, like 2 miles per hour, or the number 2
2 miles x 12 hours = 24 miles, which makes sense.
What about the case I mentioned earlier?
5 miles x 12 hours = 60 miles
Does that mean 60 miles/6 hours?
But how does that equation break down to 5 miles per 6 hours? Ha....
I'm so dumb I'm not even sure how to ask the question.
I don't know if you'll understand the question.
But I'd appreciate it if someone could help me out