Note: the result from multiplying two numbers together is the product, not the sum.
To multiply fractions, multiply each numerator, then multiply each denominator:
[tex]\frac{8}{9} \times \frac{3}{4}[/tex]
[tex]8 \times 3 = 24[/tex]
[tex]9 \times 4 = 36[/tex]
[tex]\frac{8}{9} \times \frac{3}{4} = \frac{24}{36}[/tex]
The result can be simplified by finding the greatest common factor of 24 and 36:
Factors of 24: {1,2,3,4,6,8,12,24}
Factors of 36: {1,2,3,4,6,9,12,18,36}
Common factors are listed in bold.
The greatest common factor is 12, so divide both the numerator and denominator by 12:
[tex]\frac{24}{36} \div \frac{12}{12} = \frac{2}{3}[/tex]
The product of 8/9 and 3/4 is 2/3.
