What is the result of the expression 3/8 x 3/4 x 8/9 reduced to lowest terms?

To find the result of the expression ( \frac{3}{8} \times \frac{3}{4} \times \frac{8}{9} ) and reduce it to its lowest terms, we start by multiplying the numerators and the denominators separately.

Numerators: ( 3 \times 3 \times 8 = 72 )

Denominators: ( 8 \times 4 \times 9 = 288 )

This gives us the fraction ( \frac{72}{288} ). To simplify this fraction, we need to find the greatest common divisor (GCD) of 72 and 288.

• The GCD of 72 and 288 is 72, since 72 is a number that divides both evenly.

• Dividing both the numerator and the denominator by their GCD:

[

\frac{72 \div 72}{288 \div 72} = \frac{1}{4}

]

Thus, the expression ( \frac{3}{8} \times \frac{3}{4} \times \frac{8}{9} ) reduced to its lowest terms is ( \frac{1}{4} \