Final answer:
Junior's height is found by multiplying his brother's height (1(1)/(2) meters or 3/2 meters) by the proportion of Junior's height to his brother's height (1.2 or 1/5). The calculation results in Junior being 0.75 meters tall.
Step-by-step explanation:
The question asks to find out how tall Junior is, given that he is 1(1)/(5) or 1.2 of his brother's height, and his brother is 1(1)/(2) meters tall. We first convert the brother's height into an improper fraction, which makes it 3/2 meters. Using the given proportion of 1.2, we multiply 3/2 by 1.2 to find Junior's height.
To calculate in meters, we do the following calculation:
- Multiply the numerator of the brother's height fraction by the proportion, 3 × 1 = 3.
- Now, multiply the denominator by the proportion denominator, 2 × 2 = 4.
- Write the resultant ratio as a fraction, which is 3/4.
- Convert the fraction into decimal to find Junior's height in meters which is 0.75 meters.
Therefore, Junior is 0.75 meters tall.