Question

kono divides the numerator and denominator of 48 over 72 by the greatest common factor to simplify the fraction in one step. by what number does he divide?

Answer 1

24

Explanation:

• The Greatest Common Factor (GCF) is the biggest common number by which 2 numbers can be formed when multiplied

Factors of 48 and 72

• 48 : 1, 2, 3, 4, 6, 8, 12, 16, [24], 48
• 72 : 1, 2, 3, 4, 6, 8, 9, 12, 18, [24], 36, 72

• ⇒ 24 is the GCF

Solving

• 
  `(48)/(72) = (2*24)/(3*24) = (2)/(3)`

Answer 2

24

Explanation:

`\sf Given\:fraction:(48)/(72)`

Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

So the greatest common factor (GCF) of 48 and 72 is 24.

Therefore, to simplify the fraction, divide the numerator and denominator by 24:

`\sf \implies (48)/(72)=(48 / 24)/(72 / 24)=(2)/(3)`