Answer: [tex]2\frac{3}{20}[/tex]
Step-by-step explanation:
First, convert mixed numbers into improper fractions and simplify all fractions
[tex]\frac{4}{10}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{2}{5}[/tex]
[tex]1\frac{6}{8}[/tex] = [tex]\frac{8(1) + 6}{8}[/tex] = [tex]\frac{14}{8}[/tex] ÷ [tex]\frac{2}{2}[/tex] = [tex]\frac{7}{4}[/tex]
Next, find their sum. Remember to find the LCD and convert the fractions so they have like denominators.
Monday + Tuesday = Total
[tex]\frac{2}{5}[/tex] + [tex]\frac{7}{4}[/tex] = Total the LCD of 5 and 4 is 20
[tex](\frac{4}{4})\frac{2}{5}[/tex] + [tex](\frac{5}{5})\frac{7}{4}[/tex] = Total
[tex]\frac{8}{20}[/tex] + [tex]\frac{35}{20}[/tex] = Total
[tex]\frac{43}{20}[/tex] = Total
Then, convert the improper fraction into a mixed number
[tex]\frac{43}{20}[/tex] = [tex]2\frac{3}{20}[/tex]
