10m/11p.44p/20k.15k/8m
we are multiplying and dividing rational expressions. can ne1 help?
I have no idea what you need. Your first line makes no sense.
i know, it doesn't make any sense to me either...it's fractions 10m/11p times 44p/20k times 15k/8m. we have to multiply and simplify
10m/11p*44p/20k*15k/8m
remember that denominators can divide into numerators..
look at the llp and the 44p. that reduces to 4 in the numerator.
10m*4/20k*15k/8m
The 15k/20k reduces to 4/5
10m*4 *5/8m
Now the 10m/8m reduces to 5/4
5/4*4 *5
the 4/4 reduces to 1, so..
5*5
25 is the answer.
ok, but what happened to the letters? don't they remain part of the problem? also, how does 15k/20k reduce to 4/5? thanks for your help. joshua
Apologies for the confusion earlier. Let me explain it in more detail.
In the expression 10m/11p * 44p/20k * 15k/8m, we are multiplying and simplifying rational expressions.
To solve this problem:
Step 1: Let's simplify each fraction individually before multiplying.
Starting with the first fraction, 10m/11p:
No numerator or denominator can be simplified further.
Moving to the second fraction, 44p/20k:
The numerator, 44p, and the denominator, 20k, have a common factor of 4.
So, we can simplify 44p/20k to (44p/4)/(20k/4), which simplifies to 11p/5k.
Finally, let's simplify the third fraction, 15k/8m:
The numerator, 15k, and the denominator, 8m, do not share any common factors, so this fraction cannot be simplified further.
Now, let's substitute the simplified fractions back into the original expression:
10m/11p * 44p/20k * 15k/8m
= (10m/11p) * (11p/5k) * (15k/8m)
= (10m * 11p * 15k) / (11p * 5k * 8m)
Step 2: Now, let's cancel out any common factors between the numerators and denominators.
In the numerator, 10m * 11p * 15k, there are no common factors.
In the denominator, 11p * 5k * 8m, we can see that the 11p in the numerator cancels out with the 11p in the denominator, and the 8m in the numerator cancels out with the 8m in the denominator.
After canceling out these factors, we are left with:
= (10m * 15k) / (5k)
= (150mk) / (5k)
Step 3: Further simplification.
The k in the numerator and the k in the denominator can be canceled out, leaving us with:
= 150m / 5
= 30m
So, the simplified answer is 30m.
I apologize for omitting the letters 'm', 'p', and 'k' in my previous response. They do remain a part of the problem, and I should have included them in the explanation.