Final answer:
To evaluate 1/5.1/5.1/5, the expression assumed to mean (1/5) × (1/5) × (1/5), we multiply the numerators and denominators separately, resulting in 1/125. Understanding this expression requires knowledge of how to multiply fractions and the concept of relative frequency in terms of parts of a whole.
Step-by-step explanation:
The calculation 1/5.1/5.1/5 seems to be a multiplication of fractions. However, without clear separators, it's challenging to know if the intention was (1/5) × (1/5) × (1/5), which equals 1/125, or perhaps a typo meant to represent a single fraction or another kind of mathematical expression. Assuming it's multiplication of the same fraction three times:
Step 1: Multiply the numerators: 1 × 1 × 1 = 1
Step 2: Multiply the denominators: 5 × 5 × 5 = 125
So the expression would equal: 1/125.
Understanding Fractions
Fractions represent parts of a whole, and when we multiply fractions, we're finding a part of a part. If we consider a relative frequency example where we calculate the probability of an event that occurs 5 times out of 100, the fraction would be 5/100 or 0.05 when expressed as a decimal.
When dealing with proportions or unit conversion, we often set up ratios that relate different units. For example, if we know that 100 centimeters are 1 meter, we could have a ratio like 1m/100cm, which simplifies to 1 because the numerator and the denominator represent the same length, despite being in different units.