Question

Rewrite each fraction in simplest form using the GCF of the numerator and denominator.

Answer 1

`(7)/(10)`

`(5)/(17)`

Explanation:

Answer 2

`\sf 6. \quad (7)/(10)`

`\sf 7. \quad (5)/(17)`

Explanation:

Question 6

To find the greatest common factor (GCF), first list the prime factors of each number:

• 42 = 2 × 3 × 7
• 60 = 2 × 2 × 3 × 5

42 and 60 share one 2 and one 3 in common.

Multiply them together to get the GCF: 2 × 3 = 6.

Therefore, 6 is the GCF of 42 and 60.

Divide the numerator and the denominator by the found GCF:

`\implies \sf (42 / 6)/(60 / 6)=(7)/(10)`

Question 7

To find the greatest common factor (GCF), first list the prime factors of each number:

• 80 = 2 × 2 × 2 × 2 × 5
• 272 = 2 × 2 × 2 × 2 × 17

80 and 272 share four 2s in common.

Multiply them together to get the GCF: 2 × 2 × 2 × 2 = 16.

Therefore, 16 is the GCF of 80 and 272.

Divide the numerator and the denominator by the found GCF:

`\implies \sf (80 / 16)/(272 / 16)=(5)/(17)`