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

A. [tex]\frac{3}{4}[/tex]

B. [tex]1 \frac{1}{4}[/tex]

C. [tex]\frac{6}{8}[/tex]

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

Sagot :

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

1. Identify the Greatest Common Divisor (GCD):
- First, find the greatest common divisor (GCD) of the numerator (36) and the denominator (48). The GCD is the largest number that divides both 36 and 48 without leaving a remainder.

2. Divide Both Numerator and Denominator by the GCD:
- Once you have the GCD, divide the numerator and the denominator by this GCD to simplify the fraction.

Let's consider the example provided:

1. Finding the GCD:
- The GCD of 36 and 48 is 12.

2. Reducing the fraction:
- Divide the numerator (36) by the GCD (12):
[tex]\[ \text{Reduced numerator} = \frac{36}{12} = 3 \][/tex]
- Divide the denominator (48) by the GCD (12):
[tex]\[ \text{Reduced denominator} = \frac{48}{12} = 4 \][/tex]

Thus, the fraction [tex]\(\frac{36}{48}\)[/tex] reduces to [tex]\(\frac{3}{4}\)[/tex].

Therefore, the answer is:
A. [tex]\(\frac{3}{4}\)[/tex]
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