Question

question 17 of 60
put a check by all the prime numbers.
7
10
12
17
22
25
none of the above

question 18 of 60
write the fraction \\(\frac{14}{21}\\) in simplest form.

question 19 of 60
write \\(\frac{3}{12}\\) in simplest form.

question 20 of 60
write 98 as a product of prime factors.

question 21 of 60
multiply.
\\(\frac{4}{7} \times 21\\)

Explanation:

Question 17

Step 1: Recall prime number definition

A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.

• 7: Divisors are 1 and 7, so prime.
• 10: Divisors are 1, 2, 5, 10 (not prime).
• 12: Divisors are 1, 2, 3, 4, 6, 12 (not prime).
• 17: Divisors are 1 and 17, so prime.
• 22: Divisors are 1, 2, 11, 22 (not prime).
• 25: Divisors are 1, 5, 25 (not prime).

Step 2: Identify primes

From the list, 7 and 17 are prime.

Step 1: Find GCD of 14 and 21

The greatest common divisor (GCD) of 14 and 21. Factors of 14: \(1, 2, 7, 14\); factors of 21: \(1, 3, 7, 21\). GCD is 7.

Step 2: Divide numerator and denominator by GCD

\(\frac{14\div7}{21\div7} = \frac{2}{3}\)

Step 1: Find GCD of 3 and 12

Factors of 3: \(1, 3\); factors of 12: \(1, 2, 3, 4, 6, 12\). GCD is 3.

Step 2: Divide numerator and denominator by GCD

\(\frac{3\div3}{12\div3} = \frac{1}{4}\)

Answer:

• 7 (checked)
• 17 (checked)

Question 18