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add. answer as a mixed number in lowest terms. \\(\\begin{array}{r}9\\f…

Question

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

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

\\) first, enter the whole number.

Explanation:

Step1: Add whole numbers

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

Step2: Add fractions

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

Step3: Simplify fraction

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

Step4: Add to whole number

Add the result from step1 and step3: \(13 + 1\frac{7}{20}=14\frac{7}{20}\)
The whole number part is 14.

Answer:

14