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Simplify the following expression:
[tex]\[
\frac{3}{12} \times \frac{8}{15}
\][/tex]

Sagot :

GinnyAnswer
To solve the product of the fractions [tex]\(\frac{3}{12} \times \frac{8}{15}\)[/tex], follow these steps:

1. Multiply the Numerators:
[tex]\[ \text{Numerator} = 3 \times 8 = 24 \][/tex]

2. Multiply the Denominators:
[tex]\[ \text{Denominator} = 12 \times 15 = 180 \][/tex]

So, the resulting fraction is:
[tex]\[ \frac{24}{180} \][/tex]

3. Simplify the Fraction:

To simplify [tex]\(\frac{24}{180}\)[/tex], find the greatest common divisor (GCD) of 24 and 180. The GCD of 24 and 180 is 12.

Now divide both the numerator and the denominator by their GCD:

[tex]\[ \frac{24 \div 12}{180 \div 12} = \frac{2}{15} \][/tex]

Thus, the simplified form of the product [tex]\(\frac{3}{12} \times \frac{8}{15}\)[/tex] is:
[tex]\[ \frac{2}{15} \][/tex]

So the final answer is:

[tex]\(\frac{3}{12} \times \frac{8}{15} = \frac{2}{15}\)[/tex]
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