Three rational numbers are a = 1/2, b = 2/3, c = 3/4. Verify whether a x (b x c) equals (a x b) x c and state the value of a x (b x c).

Question

Accepted Answer

0.25. b × c = 2/3 × 3/4 = 6/12 = 1/2; then a × 1/2 = 1/2 × 1/2 = 1/4 = 0.25. Associativity holds, so (a x b) x c gives the same value.

Three rational numbers are $a = \frac{1}{2}, b = \frac{2}{3}, c = \frac{3}{4}$ .
Verify whether a $x (b x$ c) equals (a $x$ b) $x c$ and state the value of a $x (b x$ c).