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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?

Respuesta :

semsee45

Answer:

24

Step-by-step explanation:

[tex]\sf Given\:fraction:\dfrac{48}{72}[/tex]

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:

[tex]\sf \implies \dfrac{48}{72}=\dfrac{48 \div 24}{72 \div 24}=\dfrac{2}{3}[/tex]

Answer:

24

Step-by-step 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

  • [tex]\frac{48}{72} = \frac{2*24}{3*24} = \frac{2}{3}[/tex]

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