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Evaluate the expression -7 1/4 x 3 3/4 for x = -4. Answer as a decimal.

User Justinkoh
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1 Answer

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Final answer:

The expression -7 1/4 x 3 3/4, when evaluated with x = -4 (though x is not used), results in -27.1875.

Step-by-step explanation:

To evaluate the expression -7 1/4 x 3 3/4 for x = -4, first, you need to convert the mixed numbers to improper fractions.

-7 1/4 becomes -29/4 (since 7*4 + 1 = 29), and 3 3/4 becomes 15/4 (since 3*4 + 3 = 15).

Then, multiply these two fractions.

Next, substitute x = -4 into the expression, acknowledging that x here is not relevant as there is no variable in the original expression to substitute it into.

However, to complete the evaluation, multiply the improper fractions:

-29/4 * 15/4 = -435/16

Now convert this to a decimal by dividing -435 by 16:

-435 ÷ 16 = -27.1875