gloryyy3
Answered

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What is the simplified form of the fraction below?

[tex]\[
\frac{8}{48}
\][/tex]

A. [tex][tex]$\frac{1}{8}$[/tex][/tex]
B. [tex][tex]$\frac{1}{4}$[/tex][/tex]
C. [tex][tex]$\frac{1}{3}$[/tex][/tex]
D. [tex][tex]$\frac{1}{6}$[/tex][/tex]

Sagot :

GinnyAnswer
Sure, let's go through the process of simplifying the fraction [tex]\(\frac{8}{48}\)[/tex].

1. Identify the greatest common divisor (GCD):
- To simplify the fraction [tex]\(\frac{8}{48}\)[/tex], we first need to determine the greatest common divisor of 8 and 48. The GCD is the largest number that can exactly divide both the numerator (8) and the denominator (48).

2. Divide the numerator and the denominator by the GCD:
- Once we find the GCD, we divide both the numerator and the denominator by this number to simplify the fraction.

Let's follow this process step by step:

- The GCD of 8 and 48 is 8.

3. Simplify the fraction:
- Divide the numerator (8) by the GCD (8): [tex]\(\frac{8}{8} = 1\)[/tex].
- Divide the denominator (48) by the GCD (8): [tex]\(\frac{48}{8} = 6\)[/tex].

Thus, the simplified form of the fraction [tex]\(\frac{8}{48}\)[/tex] is [tex]\(\frac{1}{6}\)[/tex].

So, the correct answer is:
D. [tex]\(\frac{1}{6}\)[/tex]
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