Evaluating the Expression: 1/2 × 1/2 × 1/2 × 1/2 as a Fraction
When we multiply fractions, we need to multiply the numerators (the numbers on top) and multiply the denominators (the numbers at the bottom), like this:
(a/b) × (c/d) = (ac)/(bd)
Let's apply this rule to evaluate the expression: 1/2 × 1/2 × 1/2 × 1/2.
Step 1: Multiply the First Two Fractions
(1/2) × (1/2) = (1 × 1) / (2 × 2) = 1/4
Step 2: Multiply the Result by the Third Fraction
(1/4) × (1/2) = (1 × 1) / (4 × 2) = 1/8
Step 3: Multiply the Result by the Fourth Fraction
(1/8) × (1/2) = (1 × 1) / (8 × 2) = 1/16
So, the final result of the expression 1/2 × 1/2 × 1/2 × 1/2 is:
1/16
In conclusion, the expression 1/2 × 1/2 × 1/2 × 1/2 simplifies to the fraction 1/16.
