Answer:
[tex]8[/tex]
Step-by-step explanation:
In order to get the answer to this question you must turn the mixed numbers into improper fractions find the common denominator and then add the numerators.
[tex]3\frac{1}{6} +4\frac{5}{6}[/tex]
Turn the mixed numbers into improper fractions:
[tex]3\frac{1}{6} =\frac{19}{6}[/tex]
[tex]4\frac{5}{6} =\frac{29}{6}[/tex]
[tex]\frac{19}{6} +\frac{29}{6}[/tex]
Find the common denominator
[tex]CD=12[/tex]
[tex]19\times2=38[/tex]
[tex]6\times2=12[/tex]
[tex]29\times2=58[/tex]
[tex]6\times2=12[/tex]
Add the numerators:
[tex]38+58=96[/tex]
[tex]=\frac{96}{12}[/tex]
Simplify:
[tex]96\div2=48[/tex]
[tex]12\div2=6[/tex]
Simplify again:
[tex]48\div2=24[/tex]
[tex]6\div2=3[/tex]
[tex]=\frac{24}{3}[/tex]
Turn the improper fraction into a mixed number:
[tex]\frac{24}{3} = 8[/tex]
[tex]=8[/tex]
Hope this helps.
