To multiply fractions, multiply the numerators, then multiply the denominators:
[tex]\frac{8}{16} \times \frac{2}{8}[/tex]
[tex]\text{Numerator: } 8 \times 2 = 16[/tex]
[tex]\text{Denominator: } 16 \times 8 = 128[/tex]
[tex]\frac{8}{16} \times \frac{2}{8} = \frac{16}{128}[/tex]
The fraction can be simplified by finding the GCF (greatest common factor) of both the numerator and the denominator, then dividing both numbers by the GCF:
Factors of 16: {1,2,4,8,16}
Factors of 128: {1,2,4,8,16,32,64,128}
The GCF of 16 and 128 will be 16.
Divide both the numerator and denominator by 16 (note that 16/16 is equal to 1, so the value of the fraction does not change):
[tex]\frac{16}{128} \div \frac{16}{16}[/tex]
[tex]\text{Numerator: } 16 \div 16 = 1[/tex]
[tex]\text{Denominator: } 128 \div 16 = 8[/tex]
[tex]\frac{16}{128} \div \frac{16}{16} = \boxed{\frac{1}{8}}[/tex]
The answer is 1/8.
