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Which of the following expressions is equivalent to 1 - 1/4 - 5/3?

a) -1/4 + (-5/3)
b) -1/4 - 5/3
c) -1/4 - (-5/3)
d) -1/4 + 5/3

User Nanakondor
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1 Answer

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Final answer:

The expression 1 - 1/4 - 5/3 simplifies to -11/12. The equivalent expression in the options given is -1/4 - 5/3, as they both result in the same simplified form.

Step-by-step explanation:

The expression 1 - 1/4 - 5/3 needs to be simplified while keeping in mind the order of operations and the rules for adding and subtracting fractions. First, we convert the number 1 into a fraction that has a common denominator with the other fractions present. We will base our common denominator on the denominators of 4 and 3, which is 12. This makes our first fraction 12/12. Now we rewrite the expression as 12/12 - 3/12 - 20/12.

Combining these fractions, we get (12 - 3 - 20)/12, which simplifies to -11/12. Therefore, the correct expression that is equivalent to the given expression is -1/4 - 5/3, since both will simplify to the same result.

User Limbo Peng
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