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Reduce the following expression to its lowest terms:

[tex]\[ \frac{8}{12} - \frac{4}{8} = \][/tex]

Select one:
a. [tex]\(\frac{2}{14}\)[/tex]
b. [tex]\(\frac{1}{7}\)[/tex]
c. [tex]\(\frac{4}{24}\)[/tex]
d. [tex]\(\frac{1}{6}\)[/tex]

Sagot :

GinnyAnsweridn
Let's solve the problem step by step:

First, we evaluate the expressions [tex]\( \frac{8}{12} \)[/tex] and [tex]\( \frac{4}{8} \)[/tex].

1. Simplifying [tex]\( \frac{8}{12} \)[/tex]:

[tex]\[ \frac{8}{12} \approx 0.6666666666666666 \][/tex]

2. Simplifying [tex]\( \frac{4}{8} \)[/tex]:

[tex]\[ \frac{4}{8} = 0.5 \][/tex]

Next, we perform the subtraction [tex]\( \frac{8}{12} - \frac{4}{8} \)[/tex]:

[tex]\[ 0.6666666666666666 - 0.5 = 0.16666666666666663 \][/tex]

Now, we need to express [tex]\( 0.16666666666666663 \)[/tex] as a fraction and reduce it to its lowest terms.

[tex]\( 0.16666666666666663 \)[/tex] is equivalent to [tex]\( \frac{1}{6} \)[/tex] when reduced to the lowest terms.

Thus,

[tex]\[ \frac{8}{12} - \frac{4}{8} = \frac{1}{6} \][/tex]

Therefore, the correct answer is:

d. [tex]\( \frac{1}{6} \)[/tex]
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