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Answer :
We want to find which candidate expression is equivalent to
$$5.8 \div 1.15.$$
A convenient strategy is to eliminate decimals by multiplying both the numerator and the denominator by the same number. Here, multiplying by 100 works well. Doing this, we get:
$$
5.8 \div 1.15 = \frac{5.8}{1.15} = \frac{5.8 \times 100}{1.15 \times 100} = \frac{580}{115}.
$$
Now, comparing with the given expressions:
1. $$0.58 \div 115$$
2. $$5.8 \div 115$$
3. $$58 \div 115$$
4. $$580 \div 115$$
We see that the expression $$\frac{580}{115}$$ is the same as $$580 \div 115.$$
Thus, the candidate expression that is equivalent to $$5.8 \div 1.15$$ is:
$$580 \div 115.$$
$$5.8 \div 1.15.$$
A convenient strategy is to eliminate decimals by multiplying both the numerator and the denominator by the same number. Here, multiplying by 100 works well. Doing this, we get:
$$
5.8 \div 1.15 = \frac{5.8}{1.15} = \frac{5.8 \times 100}{1.15 \times 100} = \frac{580}{115}.
$$
Now, comparing with the given expressions:
1. $$0.58 \div 115$$
2. $$5.8 \div 115$$
3. $$58 \div 115$$
4. $$580 \div 115$$
We see that the expression $$\frac{580}{115}$$ is the same as $$580 \div 115.$$
Thus, the candidate expression that is equivalent to $$5.8 \div 1.15$$ is:
$$580 \div 115.$$
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