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Answer :
To solve the problem [tex]\frac{8}{12} \times \frac{25}{141}[/tex], we perform the following steps:
Multiply the Numerators:
- Multiply the top numbers of each fraction: [tex]8 \times 25 = 200[/tex].
Multiply the Denominators:
- Multiply the bottom numbers of each fraction: [tex]12 \times 141 = 1692[/tex].
Form the New Fraction:
- Combine the results to form a new fraction: [tex]\frac{200}{1692}[/tex].
Simplify the Fraction:
- First, identify a common factor that divides both the numerator and the denominator.
- The greatest common divisor (GCD) of 200 and 1692 is 4.
- Divide both numerator and denominator by their GCD:
[tex]\frac{200 \div 4}{1692 \div 4} = \frac{50}{423}[/tex]
The simplified answer for the multiplication [tex]\frac{8}{12} \times \frac{25}{141}[/tex] is [tex]\frac{50}{423}[/tex].
None of the options listed match [tex]\frac{50}{423}[/tex]. It seems there may not be a correct option provided based on the multiplication and simplification of the fractions.
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