Fraction Addition and Subtraction: Problems with Solutions

Problem 1

Calculate the sum of the fractions: [tex]\frac{1}{5}+\frac{2}{5}[/tex]

[tex]\frac{2}{5}[/tex]

[tex]\frac{1}{5}[/tex]

[tex]\frac{3}{10}[/tex]

[tex]\frac{3}{5}[/tex]

Problem 2

Determine the value of [tex]\frac{3}{7}+\frac{2}{7}[/tex]

[tex]\frac{5}{14}[/tex]

[tex]\frac{5}{7}[/tex]

[tex]\frac{1}{7}[/tex]

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

Problem 3

Compute [tex]\frac{1}{3}+\frac{2}{3}[/tex]

$\frac{4}{3}$

$\frac{2}{3}$

$1$

$3$

Problem 4

Calculate the value of [tex]\frac{2}{15}+\frac{5}{15}[/tex]

$\frac{7}{30}$

$\frac{7}{15}$

$\frac{10}{15}$

$\frac{1}{3}$

Problem 5

Evaluate the sum of the fractions: [tex]\frac{8}{11}+\frac{4}{11}[/tex]

[tex]\frac{12}{22}[/tex]

[tex]\frac{13}{11}[/tex]

[tex]\frac{10}{11}[/tex]

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

Problem 6

Calculate [tex]\frac{2}{187}-\frac{2}{187}[/tex]

$0$

$1$

$2$

$\frac{1}{187}$

Problem 7

Evaluate [tex]\frac{13}{39}-\frac{8}{39}[/tex]

$\frac{5}{39}$

$5$

$\frac{4}{39}$

$\frac{21}{39}$

Problem 8

Determine the value of [tex]\frac{18}{19}-\frac{11}{19}[/tex]

$\frac{7}{9}$

$\frac{29}{19}$

$\frac{6}{19}$

$\frac{7}{19}$

Problem 9

Find the value of [tex]\frac{15}{8}-\frac{14}{8}[/tex]

[tex]\frac{1}{8}[/tex]

[tex]8[/tex]

[tex]\frac{2}{8}[/tex]

[tex]\frac{13}{8}[/tex]

Problem 10

Determine the value of [tex]\frac{19}{27}-\frac{6}{27}[/tex]

[tex]\frac{1}{3}[/tex]

[tex]\frac{12}{27}[/tex]

[tex]\frac{14}{27}[/tex]

[tex]\frac{13}{27}[/tex]

Problem 11

Find the sum of the fractions [tex]\frac{2}{5}[/tex] and [tex]\frac{1}{5}[/tex]

[tex]\frac{1}{5}[/tex]

[tex]\frac{2}{5}[/tex]

[tex]\frac{3}{5}[/tex]

[tex]\frac{4}{5}[/tex]

Problem 12

Calculate [tex]\frac{5}{6}+\frac{10}{6}[/tex]

$\frac{15}{3}$

$\frac{50}{36}$

$\frac{5}{3}$

$\frac{5}{2}$

Problem 13

Determine the value of [tex]\frac{6}{7}-\frac{4}{7}[/tex]

[tex]\frac{1}{7}[/tex]

[tex]\frac{2}{7}[/tex]

[tex]\frac{3}{7}[/tex]

[tex]2[/tex]

Problem 14

Subtract [tex]\frac{5}{13}[/tex] from [tex]\frac{14}{13}[/tex]

[tex]\frac{19}{13}[/tex]

[tex]\frac{9}{13}[/tex]

[tex]1\frac{9}{13}[/tex]

[tex]\frac{8}{13}[/tex]

Problem 15

Evaluate [tex]\frac{3}{18}+\frac{15}{18}[/tex]

[tex]1[/tex]

[tex]\frac{1}{18}[/tex]

[tex]\frac{17}{18}[/tex]

[tex]\frac{19}{18}[/tex]

Problem 16

Find the value of [tex]\frac{2}{7}+\frac{3}{7}-\frac{5}{7}[/tex]

[tex]\frac{1}{7}[/tex]

[tex]1[/tex]

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

[tex]0[/tex]

Problem 17

Perform the fraction addition: [tex]\frac{8}{91}+\frac{13}{91}[/tex]

[tex]\frac{20}{91}[/tex]

[tex]\frac{21}{91}[/tex]

[tex]\frac{22}{91}[/tex]

[tex]\frac{23}{91}[/tex]

Problem 18

Perform the fraction subtraction: [tex]\frac{15}{45}-\frac{5}{45}[/tex]

[tex]\frac{3}{5}[/tex]

[tex]\frac{3}{9}[/tex]

[tex]\frac{20}{45}[/tex]

[tex]\frac{2}{9}[/tex]

Problem 19

Add the fractions: [tex]\frac{5}{6}+\frac{4}{6}[/tex]

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

[tex]1\frac{1}{2}[/tex]

[tex]\frac{9}{12}[/tex]

[tex]\frac{5}{3}[/tex]

Problem 20

Add the fractions: [tex]\frac{43}{56}+\frac{13}{56}[/tex]

[tex]\frac{54}{56}[/tex]

[tex]\frac{55}{56}[/tex]

$1$

$2$

Problem 21

Sum the fractions: [tex]\frac{1}{10}+\frac{7}{10}[/tex]

[tex]\frac{4}{5}[/tex]

[tex]\frac{3}{5}[/tex]

[tex]\frac{7}{10}[/tex]

[tex]\frac{9}{10}[/tex]

Problem 22

Perform the fraction subtraction: [tex]\frac{5}{18}-\frac{1}{18}[/tex]

[tex]\frac{1}{9}[/tex]

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

[tex]\frac{3}{9}[/tex]

[tex]\frac{2}{9}[/tex]

Problem 23

Add the fractions: [tex]\frac{5}{18}[/tex] and [tex]\frac{16}{18}[/tex]

[tex]1\frac{5}{6}[/tex]

[tex]\frac{8}{6}[/tex]

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

[tex]\frac{5}{6}[/tex]

Problem 24

Subtract the fractions: [tex]\frac{6}{10}-\frac{1}{10}[/tex]

[tex]\frac{1}{5}[/tex]

[tex]\frac{1}{2}[/tex]

[tex]\frac{2}{5}[/tex]

[tex]\frac{7}{10}[/tex]