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Answer:
1. [tex]\frac{8}{8}[/tex] or 1
2. [tex]\frac{7}{18}[/tex]
Step-by-step explanation:
SOLUTION FOR NUMBER 1
in adding fractions with a similar denominator, we can just add the numerator and copy the denominator
[tex]\frac{1}{8}+ \frac{3}{8}+ \frac{4}{8}[/tex]
1 + 3 + 4 = 8
simmilar denominators - copy
[tex]\frac{8}{8}[/tex] or 1
SOLUTION FOR NUMBER 2
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal to the LCD. This is basically multiplying each fraction by 1.
[tex]((\frac{8}{9} )(\frac{4}{4} ))-((\frac{2}{4} )(\frac{9}{9} ))[/tex] = [tex]\frac{32}{36} -\frac{18}{36}[/tex]
The two fractions now have like denominators so you can subtract the numerators.
[tex]\frac{32-18}{36} =\frac{14}{36}[/tex]
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 36 using
GCF(14,36) = 2
[tex]\frac{14/2}{36 /2}= \frac{7}{18}[/tex]
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