Question

add. answer as a mixed number in lowest terms.
\\(\

$$\begin{array}{r}9\\frac{3}{5}\\\\ +\\ 4\\frac{3}{4}\\\\ \\hline 14\\frac{?}{\\square}\\end{array}$$

\\) next, enter the numerator.

Explanation:

Step1: Add whole numbers

Whole numbers are 9 and 4. So, \( 9 + 4 = 13 \), but wait, the given partial sum has 14, so maybe we have a carryover from fractions. Let's check fractions.

Step2: Add fractions

Fractions are \( \frac{3}{5} \) and \( \frac{3}{4} \). Find a common denominator, which is \( 5\times4 = 20 \).
Convert \( \frac{3}{5} \) to \( \frac{3\times4}{5\times4}=\frac{12}{20} \) and \( \frac{3}{4} \) to \( \frac{3\times5}{4\times5}=\frac{15}{20} \).
Now add: \( \frac{12}{20}+\frac{15}{20}=\frac{27}{20} \).

Step3: Convert improper fraction to mixed

\( \frac{27}{20}=1\frac{7}{20} \).

Step4: Add to whole numbers

Now add the whole number part from before (9 + 4 = 13) to the whole number from the fraction conversion (1). So \( 13 + 1 = 14 \).
The fractional part is \( \frac{7}{20} \). Wait, but let's re - check the initial partial sum. Wait, maybe I made a mistake in the whole number addition first. Let's do it properly:
\( 9\frac{3}{5}+4\frac{3}{4}=(9 + 4)+(\frac{3}{5}+\frac{3}{4})=13+\frac{12 + 15}{20}=13+\frac{27}{20}=13 + 1\frac{7}{20}=14\frac{7}{20} \). So the numerator of the fractional part is 7.

Answer:

7