Statement Problem: Use the least common denominator to enter equivalent fractions with a like denominator and then find the sum. enter your answer in simplest form.
[tex]\begin{gathered} 5\frac{5}{8}= \\ + \\ 6\frac{6}{7}= \end{gathered}[/tex]
Solution:
First, we would change each of the mixed fractions to improper fractions;
[tex]\begin{gathered} 5\frac{5}{8}=\frac{45}{8} \\ + \\ 6\frac{6}{7}=\frac{48}{7} \end{gathered}[/tex]
Then, the least common multiple of 8 and 7 is;
[tex]56[/tex]
So, the sum of the fraction is;
[tex]\begin{gathered} \frac{45}{8}+\frac{48}{7}=\frac{315+384}{56} \\ \frac{45}{8}+\frac{48}{7}=\frac{699}{56} \\ \frac{45}{8}+\frac{48}{7}=12\frac{27}{56} \end{gathered}[/tex][tex]\begin{gathered} \frac{45}{8} \\ + \\ \frac{48}{7} \\ = \\ \frac{699}{56}=12\frac{27}{56} \end{gathered}[/tex]
