Question

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

$$\begin{array}{r}9\\frac{3}{5}\\\\ + 4\\frac{3}{4}\\\\ \\hline 14\\frac{7}{?}\\end{array}$$

$ finally, enter the denominator.

Explanation:

Step1: Add the whole numbers

Add the whole number parts: \(9 + 4 = 13\)

Step2: Add the fractions

Find a common denominator for \(\frac{3}{5}\) and \(\frac{3}{4}\). The least common denominator (LCD) of 5 and 4 is \(5\times4 = 20\).
Convert the fractions: \(\frac{3}{5}=\frac{3\times4}{5\times4}=\frac{12}{20}\) and \(\frac{3}{4}=\frac{3\times5}{4\times5}=\frac{15}{20}\)
Add the fractions: \(\frac{12}{20}+\frac{15}{20}=\frac{12 + 15}{20}=\frac{27}{20}\)

Step3: Combine whole and fraction parts

\(\frac{27}{20}\) is an improper fraction, convert it to a mixed number: \(\frac{27}{20}=1\frac{7}{20}\)
Now add this to the sum of the whole numbers: \(13+1\frac{7}{20}=14\frac{7}{20}\)
So the denominator of the fractional part is 20.

Answer:

20