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Reduce the fraction [tex]$\frac{36}{48}$[/tex] to its lowest terms.

A. [tex]$1 \frac{12}{48}$[/tex]

B. [tex][tex]$\frac{3}{4}$[/tex][/tex]

C. [tex]$1 \frac{1}{4}$[/tex]

D. [tex]$\frac{6}{8}$[/tex]

Sagot :

GinnyAnswer
To reduce the fraction [tex]\( \frac{36}{48} \)[/tex] to its lowest terms, follow these steps:

1. Find the Greatest Common Divisor (GCD): Identify the largest number that divides both 36 and 48 without leaving a remainder. The GCD of 36 and 48 is 12.

2. Divide the Numerator and Denominator by the GCD:
- Numerator: [tex]\( \frac{36}{12} = 3 \)[/tex]
- Denominator: [tex]\( \frac{48}{12} = 4 \)[/tex]

3. Construct the Reduced Fraction: After dividing both the numerator and the denominator by their GCD, the fraction becomes [tex]\( \frac{3}{4} \)[/tex].

Therefore, the reduced fraction is [tex]\(\frac{3}{4}\)[/tex].

The best answer is:
B. [tex]\( \frac{3}{4} \)[/tex]
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