Given the expression:
[tex]3\cdot\frac{1}{4}\cdot\frac{2}{3}[/tex]Fist step is to express the "whole" as a fraction, for this, divide it by 1
[tex]\frac{3}{1}\cdot\frac{1}{4}\cdot\frac{2}{3}[/tex]Second step, multiply the first two fractions:
[tex]\frac{3}{1}\cdot\frac{1}{4}=\frac{3\cdot1}{1\cdot4}=\frac{3}{4}[/tex]Third step, multiply the result of the first operation by the third fraction:
[tex]\frac{3}{4}\cdot\frac{2}{3}=\frac{3\cdot2}{4\cdot3}=\frac{6}{12}[/tex]Finally simplify the expression, both the numerator and denominator are divisible by 6 so:
[tex]\frac{6\div6}{12\div6}=\frac{1}{2}[/tex]Then the result for the given expression is 1/2
[tex]3\cdot\frac{1}{4}\cdot\frac{2}{3}=\frac{1}{2}[/tex]