Answer:
[tex]\frac{19}{10}[/tex] or [tex]1.9[/tex]
Step-by-step explanation:
we have
[tex]\frac{4}{5}-\frac{2}{5}+\frac{3}{4} +\frac{3}{4}[/tex]
Combine fractions with the same denominator
[tex]\frac{4-2}{5}+\frac{3+3}{4}\\\\\frac{2}{5}+\frac{6}{4}[/tex]
In order to add or subtract fractions, they must have the same denominator. Determine the least common denominator (LCD)
LCD=(5)(4)=20
Multiply the first fraction by 4/4 and the second fraction by 5/5 in order to obtain the same denominator in both fractions
so
[tex](\frac{4}{4})\frac{2}{5}+(\frac{5}{5})\frac{6}{4}[/tex]
[tex]\frac{8}{20}+\frac{30}{20}[/tex]
[tex]\frac{8+30}{20}[/tex]
[tex]\frac{38}{20}[/tex]
Simplify
[tex]\frac{19}{10}[/tex]
