Question

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

Answer 1

Answer:

$\sf 6. \quad \dfrac{7}{10}$

$\sf 7. \quad \dfrac{5}{17}$

Step-by-step 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:

$\implies \sf \dfrac{42 \div 6}{60 \div 6}=\dfrac{7}{10}$

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:

$\implies \sf \dfrac{80 \div 16}{272 \div 16}=\dfrac{5}{17}$

Answer 2

Answer:

$\frac{7}{10}$

$\frac{5}{17}$

Step-by-step explanation: