Problem

61 point
Which is the difference of $114-18 \frac{3}{5}$ ?
a. $96 \frac{2}{5}$
c. $95 \frac{2}{5}$
b. $96 \frac{1}{5}$
d. $95 \frac{1}{5}$
The answer is choose your answer...

Answer

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Answer

\(\boxed{95 \frac{2}{5}}\) is the final answer. So, the correct answer is c. $95 \frac{2}{5}$.

Steps

Step 1 :First, we need to convert the mixed number $18 \frac{3}{5}$ to an improper fraction. This can be done by multiplying the whole number part by the denominator of the fraction part and then adding the numerator of the fraction part. So, $18 \frac{3}{5}$ becomes $\frac{18*5+3}{5} = \frac{93}{5} = 18.6$.

Step 2 :Next, we subtract this improper fraction from 114. So, $114 - 18.6 = 95.4$.

Step 3 :The difference is 95.4, which is a decimal number. We need to convert this decimal number back to a mixed number to match the answer choices. The whole number part is 95 and the decimal part is 0.4. To convert 0.4 to a fraction, we write it as $\frac{4}{10}$, which simplifies to $\frac{2}{5}$. So, 95.4 becomes $95 \frac{2}{5}$.

Step 4 :\(\boxed{95 \frac{2}{5}}\) is the final answer. So, the correct answer is c. $95 \frac{2}{5}$.

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