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Question
which decimal is equivalent to $-3\frac{1}{8}$? $-3.125$ $-3.1205$ $-3.12$ $-3.18$
Step1: Convert fraction to decimal
To convert \(\frac{1}{8}\) to a decimal, we perform the division \(1\div8\).
\(1\div8 = 0.125\)
Step2: Combine with the integer part
The mixed number is \(-3\frac{1}{8}\), which is equal to \(-(3 + \frac{1}{8})\). We already found that \(\frac{1}{8}=0.125\), so \(3+\frac{1}{8}=3 + 0.125=3.125\). Then, applying the negative sign, we get \(-3.125\).
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\(-3.125\)