Addition and Subtraction of Fractions/Decimals

a.   A farmer planted $$\frac{2}{5}$$ of his forty acres in corn and another $$\frac{3}{10}$$ of his land in wheat. Taken together, what fraction of the 40 acres had been planted in corn or wheat?

b.   Jim drank $$\frac{2}{5}$$ of his water bottle and Jon drank $$\frac{3}{10}$$ of his water bottle. How much water did both boys drink?

c.   Allison has a batch of eggs in the incubator. On Monday $$\frac{2}{5}$$ of the eggs hatched. By Wednesday, $$\frac{3}{10}$$ more of the original batch hatched. How many eggs hatched in all?

d.   Two fifths of the track team arrived at the weight room at 7 a.m. Ten minutes later, $$\frac{3}{10}$$ of the team showed up. The rest of the team stayed home. What fraction of the team made it to the weight room that day?

e.   Andy made 2 free throws out of 5 free throw attempts. Jose made 3 free throws out of 10 free throw attempts. What is the fraction of free throw attempts that the two boys made together?

f.   Two fifths of the students in the fifth grade want to be in the band. Three tenths of the students in the fifth grade want to play in the orchestra. What fraction of the students in the fifth grade want to be in one of the two musical groups? 

g.   Wesley ran $$\frac{2}{5}$$ of a mile on Monday and $$\frac{3}{10}$$ of a mile on Tuesday. How far did he run those two days? 

h.   The fifth grade at Lincoln School has two soccer teams, Team A and Team B. If $$\frac{2}{5}$$ of Team A are girls and $$\frac{3}{10}$$ of Team B are girls, what fraction of the players from the two teams are girls?

i.   Two fifths of the students at Washington Elementary School like soccer best and $$\frac{3}{10}$$ of them like basketball best. What fraction of students don’t like soccer or basketball best?

a.   Write a story context that can be solved by adding $$4\frac{2}{3}+1\frac{5}{8}$$.

b.   Write a story context that can be solved by subtracting $$1\frac{4}{9}-\frac{5}{6}$$.