Operations with Fractions: Difficult Problems with Solutions

Problem 1
Calculate $$\frac{3}{2}+\frac{5}{7}$$
Problem 2
Calculate $$\frac{8}{15}-\frac{1}{3}$$
Problem 3
Calculate $$\frac{8}{17}-\frac{8}{19}$$
Problem 4
Determine the value of $$\frac{18}{15}-\frac{1}{2}$$
Problem 5
Calculate $$\frac{3}{7}\cdot 21-\frac{15}{2}$$
Problem 6
Calculate $$\frac{15}{3} \cdot \frac{9}{10}-\frac{2}{3} \cdot \frac{9}{8}$$
Problem 7
Determine the value of $$\frac{3}{7} \cdot \frac{15}{9}-\frac{2}{3}$$
Problem 8
Determine the value of $$\frac{5^2-1}{18}\cdot \frac{10}{4}$$
Problem 9
Determine the value of $$\frac{3}{8} \cdot \frac{24}{5} \cdot \frac{10}{27}$$
Problem 10
Calculate $$\frac{3}{5}.\frac{5}{7}.\frac{7}{9}-\frac{2}{4}.\frac{4}{6}.\frac{6}{8}$$

Problem 11
Calculate $$\frac{2^5}{15}-\frac{2^4}{15}$$
Problem 12
Determine the value of $$\frac{4}{9}.\frac{27}{8}+\frac{9}{8}.\frac{16}{3}$$
Problem 13
Find the value of $$\frac{1}{2}-\frac{1}{4}+\frac{1}{8}-\frac{1}{16}$$
Problem 14
There are 21 children in a classroom. $$\frac{2}{3}$$ are girls. How many are boys?
Problem 15
Determine the value of $$\frac{2}{7}.\frac{14}{2}+1$$

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