30-4860 Online Summer 2023
HW Score: $27.42 \%$,
Unit 2
Question 22, 2.6.P9-
of 62 points
Points: 0 of 1
Add and simplify. Then check by estimating.
\[
5 \frac{15}{16}+2 \frac{7}{8}+1 \frac{1}{3}
\]
\[
5 \frac{15}{16}+2 \frac{7}{8}+1 \frac{1}{3}=8 \frac{23}{27}
\]
(Simplify your answer. Type a whole number, proper fraction, or mixed

Step 1 ：Convert mixed numbers to improper fractions: \(5 \frac{15}{16} = \frac{95}{16}\), \(2 \frac{7}{8} = \frac{23}{8}\), and \(1 \frac{1}{3} = \frac{4}{3}\)

Step 2 ：Find a common denominator for the fractions: \(\text{lcm}(16, 8, 3) = 48\)

Step 3 ：Convert the fractions to have the common denominator: \(\frac{95}{16} = \frac{285}{48}\), \(\frac{23}{8} = \frac{138}{48}\), and \(\frac{4}{3} = \frac{64}{48}\)

Step 4 ：Add the fractions: \(\frac{285}{48} + \frac{138}{48} + \frac{64}{48} = \frac{487}{48}\)

Step 5 ：Convert the improper fraction back to a mixed number: \(\frac{487}{48} = 10 \frac{23}{48}\)

Step 6 ：\(\boxed{10 \frac{23}{48}}\) is the final answer