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Hollie wants to simplify [tex]\frac{48}{80}[/tex] fully. What number should she divide both the numerator and the denominator by to simplify the fraction fully in one step?

Sagot :

GinnyAnswer
To simplify the fraction [tex]\(\frac{48}{80}\)[/tex] fully in one step, Hollie needs to divide both the numerator (48) and the denominator (80) by their greatest common divisor (GCD). The GCD of 48 and 80 is the largest positive integer that divides both numbers without leaving a remainder.

For the numbers 48 and 80, the greatest common divisor is 16. Hence, Hollie should divide both the numerator and the denominator by 16.

So, dividing the numerator:
[tex]\[ \frac{48}{16} = 3 \][/tex]

And dividing the denominator:
[tex]\[ \frac{80}{16} = 5 \][/tex]

Thus, the fraction simplifies to:
[tex]\[ \frac{48}{80} = \frac{3}{5} \][/tex]

Therefore, Hollie should divide both the numerator and the denominator by 16 to simplify the fraction fully in one step.
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