Answer:
The answer to this equation would be 3/35 in simplest form.
Step-by-step explanation:
To divide by a fraction, multiply by its reciprocal.
9 /14 ⋅ 2 /15
You then cross simplify 9 & 15 (can be divided by 3 to get 9=3 and 15=5)
This will then leave you with 3/14 & 2/5
Next, you cross simplify 14 & 2, (both can be divided by 2 to get 14=7 and 2=1)
This will then leave you with 3/7 & 1/5
Then multiply
This will then leave you with your answer of 3/35.
I hope this helps! :)
Answer:
The smallest positive integer solution to the given system of congruences is 30.
Step-by-step explanation:
The given system of congruences is
where, m and n are positive integers.
It means, if the number divided by 5, then remainder is 0 and if the same number is divided by 11, then the remainder is 8. It can be defined as
Now, we can say that m>n because m and n are positive integers.
For n=1,
19 is not divisible by 5 so m is not an integer for n=1.
For n=2,
The value of m is 6 and the value of n is 2. So the smallest positive integer solution to the given system of congruences is
Therefore the smallest positive integer solution to the given system of congruences is 30.