Difficult

# Fraction Addition and Subtraction: Very Difficult Problems with Solutions

Problem 1
$$\frac{3}{4} - \frac{1}{2}(\frac{1}{3} + \frac{3}{7}) = ?$$
Problem 2
Find the sum of $$\frac{1}{2}$$, $$\frac{5}{13}$$ and $$\frac{1}{26}$$
Problem 3
Evaluate $$\frac{5}{6}-\frac{7}{12}+\frac{1}{24}$$
Problem 4
Find the value of $$\frac{3}{4}-\frac{4}{5}+\frac{5}{6}-\frac{6}{7}$$
Problem 5
Calculate the fraction sum $$\frac{1}{3}+\frac{1}{9}+\frac{1}{27}+\frac{1}{81}$$
Problem 6
Determine the value of $$\frac{1}{15}+\frac{3}{20}-\frac{17}{25}+2$$
Problem 7
Evaluate the infinite sum $$1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\frac{1}{16}+...$$
Problem 8
Sum the fractions $$\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+\frac{1}{5\cdot6}$$
Problem 9
Sum the fractions: $$\frac{1}{5}+\frac{2}{9}+\frac{7}{15}$$
Problem 10
Determine the value of $$\frac{3}{27}+\frac{11}{15}+\frac{17}{30}$$

Problem 11
Calculate $$\frac{5}{14}+\frac{13}{21}+\frac{3}{28}$$
Problem 12
Evaluate $$\frac{13}{19}+\frac{5}{7}+\frac{8}{11}$$
Problem 13
Determine the value of $$\frac{5}{14}-\frac{8}{21}+\frac{17}{35}$$
Problem 14
Calculate $$\frac{7}{15}-\frac{8}{35}+\frac{9}{21}$$
Problem 15
Sum the fractions $$\frac{5}{49}+\frac{3}{21}-\frac{6}{25}$$
Difficult

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