Operations with Fractions: Difficult Problems with Solutions

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

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