Evaluate: $$15\frac{1}{3}\%$$ of $$480 ext{ km}$$ + $$58\frac{1}{3}\%$$ of $$300 ext{ km}$$.

Question

Evaluate: $$15\frac{1}{3}\%$$ of $$480 	ext{ km}$$ + $$58\frac{1}{3}\%$$ of $$300 	ext{ km}$$.

Accepted Answer

Solution:
Given expression:
$$ 15\frac{1}{3}\% 	ext{ of } 480 	ext{ km} + 58\frac{1}{3}\% 	ext{ of } 300 	ext{ km} $$
First convert the mixed percentages into improper fractions:
$$ 15\frac{1}{3}\% = \frac{46}{3}\% $$
$$ 58\frac{1}{3}\% = \frac{175}{3}\% $$
Now calculate the first part:
$$ \frac{46}{3}\% 	ext{ of } 480 $$
$$ = \frac{46}{3} 	imes \frac{1}{100} 	imes 480 $$
$$ = \frac{46 	imes 480}{300} $$
$$ = 73.6 $$
Now calculate the second part:
$$ \frac{175}{3}\% 	ext{ of } 300 $$
$$ = \frac{175}{3} 	imes \frac{1}{100} 	imes 300 $$
$$ = 175 $$
Now add both values:
$$ 73.6 + 175 = 248.6 $$
Therefore,
$$ \boxed{248.6 	ext{ km}} $$
Final Answer: **(c) 248.6 km**

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