Fraction Addition and Subtraction: Difficult Problems with Solutions

Problem 1

Calculate [tex]\frac{1}{15}+\frac{4}{5}[/tex]

[tex]\frac{5}{20}[/tex]

[tex]\frac{13}{15}[/tex]

[tex]\frac{1}{4}[/tex]

[tex]\frac{12}{15}[/tex]

Problem 2

Determine the value of [tex]\frac{1}{2}+\frac{1}{4}+\frac{1}{8}[/tex]

$\frac{7}{4}$

$\frac{5}{8}$

$\frac{6}{8}$

$\frac{7}{8}$

Problem 3

Evaluate [tex]\frac{3}{9}+\frac{9}{27}[/tex]

$\frac{2}{9}$

$\frac{1}{9}$

$\frac{1}{3}$

$\frac{2}{3}$

Problem 4

Calculate [tex]\frac{2}{3}+\frac{5}{12}[/tex]

[tex]\frac{13}{12}[/tex]

[tex]\frac{11}{12}[/tex]

[tex]\frac{7}{15}[/tex]

[tex]\frac{7}{6}[/tex]

Problem 5

Determine the value of [tex]\frac{1}{2}+\frac{5}{14}[/tex]

$\frac{13}{14}$

$\frac{3}{16}$

$\frac{6}{7}$

$\frac{5}{7}$

Problem 6

Find the value of [tex]\frac{5}{21}+\frac{1}{3}[/tex]

$\frac{15}{21}$

$\frac{3}{7}$

$\frac{4}{7}$

$\frac{5}{7}$

Problem 7

Add the fractions [tex]\frac{2}{7}[/tex] and [tex]\frac{13}{28}[/tex]

$\frac{6}{7}$

$\frac{5}{4}$

$\frac{7}{8}$

$\frac{3}{4}$

Problem 8

Find the sum of [tex]\frac{15}{25}[/tex] and [tex]\frac{8}{15}[/tex]

$1\frac{1}{15}$

$1\frac{2}{15}$

$\frac{13}{15}$

$1\frac{3}{5}$

Problem 9

Calculate [tex]\frac{5}{21}-\frac{1}{7}[/tex]

[tex]\frac{1}{21}[/tex]

[tex]\frac{2}{21}[/tex]

[tex]\frac{3}{21}[/tex]

[tex]\frac{4}{14}[/tex]

Problem 10

Evaluate [tex]\frac{2}{14}+\frac{5}{21}[/tex]

$\frac{11}{42}$

$\frac{320}{294}$

$\frac{7}{21}$

$\frac{8}{21}$

Problem 11

Determine the value of [tex]\frac{5}{13}+\frac{3}{26}[/tex]

$\frac{6}{13}$

$\frac{14}{26}$

$\frac{1}{2}$

$\frac{16}{26}$

Problem 12

Calculate the sum of fractions: [tex]\frac{52}{77}+\frac{2}{11}[/tex]

$\frac{5}{7}$

$\frac{60}{77}$

$\frac{4}{7}$

$\frac{6}{7}$

Problem 13

Find the value of [tex]\frac{18}{65}+\frac{7}{13}[/tex]

$\frac{53}{65}$

$\frac{52}{65}$

$\frac{51}{65}$

$\frac{688}{845}$

Problem 14

Evaluate [tex]\frac{5}{74}-\frac{2}{37}[/tex]

$\frac{3}{74}$

$\frac{1}{37}$

$\frac{2}{74}$

$\frac{1}{74}$

Problem 15

Subtract [tex]\frac{13}{14}[/tex] from [tex]\frac{33}{28}[/tex]

$\frac{1}{4}$

$\frac{8}{28}$

$\frac{1}{6}$

$\frac{4}{28}$

Problem 16

Sum the fractions [tex]\frac{1}{2}+\frac{1}{3}+\frac{7}{6}[/tex]

$1\frac{1}{2}$

$2$

$\frac{13}{6}$

$\frac{11}{6}$

Problem 17

Determine the value of [tex]\frac{5}{16}+\frac{7}{14}[/tex]

[tex]\frac{13}{16}[/tex]

[tex]\frac{180}{224}[/tex]

[tex]\frac{7}{18}[/tex]

[tex]\frac{11}{16}[/tex]

Problem 18

Calculate [tex]\frac{28}{35}+\frac{63}{15}[/tex]

Problem 19

Evaluate [tex]\frac{18}{24}+\frac{23}{53}[/tex]

Problem 20

Determine the value of [tex]\frac{19}{51}+\frac{11}{17}[/tex]

Problem 21

Calculate [tex]\frac{349}{23}-\frac{234}{23}[/tex]

Problem 22

Subtract [tex]\frac{15}{67}[/tex] from [tex]\frac{137}{134}[/tex]

[tex]\frac{101}{134}[/tex]

[tex]\frac{103}{134}[/tex]

[tex]\frac{105}{134}[/tex]

[tex]\frac{107}{134}[/tex]

Problem 23

Evaluate [tex]\frac{1}{11}-\frac{2}{11}+\frac{3}{11}-\frac{4}{11}+\frac{5}{11}[/tex]

[tex]\frac{2}{11}[/tex]

[tex]\frac{3}{11}[/tex]

[tex]\frac{4}{11}[/tex]

[tex]\frac{5}{11}[/tex]

Problem 24

Calculate [tex]\frac{5}{18}-\frac{2}{9}+\frac{7}{36}[/tex]

[tex]\frac{6}{36}[/tex]

[tex]\frac{1}{4}[/tex]

[tex]\frac{1}{6}[/tex]

[tex]\frac{3}{4}[/tex]

Problem 25

Subtract the fractions [tex]\frac{234}{165}-\frac{124}{165}[/tex]

Problem 26

If [tex]\frac{1}{4}[/tex] of the ghosts in a castle are friendly and [tex]\frac{3}{5}[/tex] of them are unfrendly. What fraction of the ghost are neither friendly or unfriendly?