Question

what is the correct somplifacation of 243 3/5
pls show the steps

Answer 1

To simplify \( 243 \frac{3}{5} \), we want to convert the mixed number into an improper fraction. Here’s how to do it step-by-step:

### Step 1: Convert the Whole Number to a Fraction
The whole number part is \( 243 \). To express this as a fraction, you multiply it by the denominator of the fractional part:
\[
243 = \frac{243 \times 5}{5} = \frac{1215}{5}
\]

### Step 2: Add the Fractional Part
Now, we’ll add the fractional part \( \frac{3}{5} \) to this:
\[
243 \frac{3}{5} = \frac{1215}{5} + \frac{3}{5}
\]

### Step 3: Combine the Fractions
Since both fractions have the same denominator, we can combine them directly:
\[
\frac{1215 + 3}{5} = \frac{1218}{5}
\]

### Result
The improper fraction representation of \( 243 \frac{3}{5} \) is:
\[
\frac{1218}{5}
\]

### Final Expression
Thus, the correct simplification of \( 243 \frac{3}{5} \) is:
\[
\frac{1218}{5}
\]

If you wanted to express this as a decimal, you could divide \( 1218 \) by \( 5 \), which gives:
\[
243.6
\]
So, \( 243 \frac{3}{5} \) is equivalent to \( 243.6 \) as a decimal, but the improper fraction \( \frac{1218}{5} \) is the direct simplification.