What is the result of the expression 27/35 x 5/16 x 15/3 in lowest terms?

To determine the result of the expression 27/35 x 5/16 x 15/3 in lowest terms, we first perform the multiplication of the fractions.

When multiplying fractions, you multiply the numerators together and the denominators together:

[

\frac{27}{35} \times \frac{5}{16} \times \frac{15}{3} = \frac{27 \times 5 \times 15}{35 \times 16 \times 3}

]

Calculating the numerators:

27 x 5 = 135

135 x 15 = 2025

Calculating the denominators:

35 x 16 = 560

560 x 3 = 1680

Now we have:

[

\frac{2025}{1680}

]

Next, we need to simplify this fraction by finding the greatest common divisor (GCD) of the numerator and the denominator.

The GCD of 2025 and 1680 is 15. We simplify:

[

\frac{2025 \div 15}{1680 \div 15} = \frac{135}{112}

]

Next, we convert the proper fraction (\frac