Answer :
To determine which expression is equivalent to
[tex]$$5.8 \div 1.15,$$[/tex]
we can begin by eliminating the decimals.
1. Write the division as a fraction:
[tex]$$ \frac{5.8}{1.15}. $$[/tex]
2. Multiply both the numerator and the denominator by 100 to remove the decimals:
[tex]$$ \frac{5.8 \times 100}{1.15 \times 100} = \frac{580}{115}. $$[/tex]
3. Notice that the fraction now is exactly the equivalent of the expression:
[tex]$$ 580 \div 115. $$[/tex]
Thus, [tex]$580 \div 115$[/tex] is equivalent to [tex]$5.8 \div 1.15$[/tex].
The correct answer is the fourth option.
[tex]$$5.8 \div 1.15,$$[/tex]
we can begin by eliminating the decimals.
1. Write the division as a fraction:
[tex]$$ \frac{5.8}{1.15}. $$[/tex]
2. Multiply both the numerator and the denominator by 100 to remove the decimals:
[tex]$$ \frac{5.8 \times 100}{1.15 \times 100} = \frac{580}{115}. $$[/tex]
3. Notice that the fraction now is exactly the equivalent of the expression:
[tex]$$ 580 \div 115. $$[/tex]
Thus, [tex]$580 \div 115$[/tex] is equivalent to [tex]$5.8 \div 1.15$[/tex].
The correct answer is the fourth option.
