I need help with a couple of questions
8 3/7-2 1/2
can u show the work
and what and how to write the prime factorization of 93 and 425
8 3/7-2 1/2
= 59/7 - 5/2
= 118/14 - 35/14
= 83/14 or 5 13/14
93 = 3x31
524 = 2x2x131
both 31 and 131 are primes
I said 425 or IS that how d]you do it
With what Reiny showed, there should be sufficient information to work out 425 by yourself as an exercise.
I will give you another example, 525:
525÷5=105
105÷5=21
21÷3=7
since 7 is a prime we cannot go further.
so
525=5*5*3*7=3*5²*7
You're welcome to post your answer for 425 for checking if you wish.
Sure! I can help you with both questions.
First, let's solve the subtraction problem: 8 3/7 - 2 1/2.
To subtract mixed fractions, we need to have a common denominator. In this case, the common denominator is 14.
Converting 8 3/7 to an improper fraction:
8 times 7 (the denominator) is 56. Add 3 to get 59.
So, 8 3/7 is equal to the improper fraction 59/7.
Converting 2 1/2 to an improper fraction:
2 times 2 (the denominator) is 4. Add 1 to get 5.
So, 2 1/2 is equal to the improper fraction 5/2.
Now, let's subtract the fractions:
59/7 - 5/2.
Since the denominators are already the same, we can subtract the numerators directly.
(59 - 5)/7 = 54/7.
Now, let's convert the improper fraction 54/7 back to a mixed number.
54 divided by 7 equals 7 with a remainder of 5.
So, the answer is 7 5/7.
Now, let's move on to the prime factorization of 93 and 425.
To find the prime factorization of a number, you need to divide the number by prime numbers until you can no longer divide evenly.
For 93:
Start by dividing 93 by the smallest prime number, which is 2. Since 93 is odd, it is not divisible by 2.
Next, divide 93 by 3. It divides evenly, so the prime factorization is 3 × 31.
Therefore, the prime factorization of 93 is 3 × 31.
For 425:
Start by dividing 425 by 2. It divides evenly, so we can factorize it further.
Divide 212 by 2 again. It divides evenly again, giving us 106.
Divide 106 by 2, which gives us 53, an odd prime number.
Therefore, the prime factorization of 425 is 2 × 2 × 2 × 53, or simply 2^3 × 53.
I hope this helps! Let me know if you have any more questions.