please check my answers prime factorization of the number 117 =3x3x13
6/25 divided by 2/15=5/9
Your factorization is correct.
But your other answer is wrong.
Study this site to learn how to divide fractions.
http://www.mathsisfun.com/fractions_division.html
Sure! Let's check your answers step by step.
First, let's verify the prime factorization of the number 117.
To find the prime factorization, we need to find the prime numbers that multiply together to get 117. We can start by dividing 117 by the smallest prime number, which is 2. However, 2 does not divide evenly into 117, so we move on to the next prime number, which is 3.
Dividing 117 by 3 gives us 39. Again, we try dividing 39 by 3, and we get 13. Now, 13 is a prime number, so we cannot divide it further.
Therefore, the prime factorization of 117 is indeed 3 x 3 x 13. Your answer is correct!
Now, let's check your division problem: 6/25 divided by 2/15 equals 5/9.
To divide fractions, we need to multiply the first fraction by the reciprocal of the second fraction.
The reciprocal of a fraction is obtained by swapping the numerator and denominator. So, the reciprocal of 2/15 is 15/2.
Now, let's set up the division:
(6/25) ÷ (2/15) = 6/25 * 15/2
Next, multiply the numerators and denominators:
(6 * 15) / (25 * 2) = 90/50
Lastly, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 10:
90 ÷ 10 / 50 ÷ 10 = 9/5
Therefore, the correct answer to the division problem is 9/5, not 5/9. It seems like there was a mistake in your calculations.
I hope this helps! If you have any further questions, feel free to ask.