Number - Adding and Subtracting Fractions

a - answer    s - solution    v - video    d - discussion

Question 1

Calculate:

a) $\frac15+\frac25$a s v d
b) $\frac27+\frac47$a s v d
c) $\frac{1}{3}+\frac{1}{3}$a s v d
d) $\frac{3}{11}+\frac{5}{11}$a s v d
e) $\frac{2}{5}+\frac{2}{5}$a s v d
f) $\frac{1}{9}+\frac{4}{9}$a s v d

Question 2

Calculate:

a) $\frac47-\frac17$a s v d
b) $\frac45-\frac35$a s v d
c) $\frac89-\frac49$a s v d
d) $\frac{16}{17}-\frac{12}{17}$a s v d
e) $\frac{3}{13}-\frac{2}{13}$a s v d
f) $\frac25-\frac25$a s v d

Question 3

Calculate, leaving answers as top heavy/improper fractions where necessary:

a) $\frac35+\frac45$a s v d
b) $\frac17+\frac27+\frac37$a s v d
c) $\frac{17}{7}-\frac{12}{7}$a s v d
d) $\frac{9}{5}+\frac{14}{5}$a s v d
e) $\frac{10}{3}-\frac{1}{3}-\frac{8}{3}$a s v d
f) $\frac25+\frac25-\frac15$a s v d
g) $\frac87-\frac27+\frac{14}{7}$a s v d
h) $\frac{15}{2}+\frac72-\frac{11}{2}+\frac52-\frac{15}{2}$a s v d

Question 4

Calculate, leaving answers as mixed numbers where necessary:

a) $2\frac15+3\frac25$a s v d
b) $8\frac{3}{7}+1\frac17$a s v d
c) $\frac35+3\frac15$a s v d
d) $7\frac57-2\frac27$a s v d
e) $9\frac{6}{11}-\frac{4}{11}$a s v d
f) $2\frac17+\frac57-2\frac37$a s v d

Question 5

By converting to improper fractions, calculate, leaving answers as mixed numbers where necessary:

a) $2\frac35+\frac45$a s v d
b) $1\frac67+2\frac37$a s v d
c) $2\frac17-\frac57$a s v d
d) $3\frac35-2\frac45$a s v d
e) $4\frac{6}{11}+5\frac{10}{11}$a s v d
f) $\frac23+6\frac13-\frac{5}{3}$a s v d

Question 6

Calculate:

a) $\frac12+\frac14$a s v d
b) $\frac15+\frac{1}{10}$a s v d
c) $\frac23+\frac{1}{6}$a s v d
d) $\frac12+\frac{1}{8}$a s v d
e) $\frac34+\frac{3}{16}$a s v d
f) $\frac{4}{11}+\frac{3}{55}$a s v d

Question 7

Calculate:

a) $\frac12-\frac14$a s v d
b) $\frac45-\frac{7}{10}$a s v d
c) $\frac{9}{14}-\frac{2}{7}$a s v d
d) $\frac13-\frac{1}{6}$a s v d
e) $\frac{7}{5}-{7}{15}$a s v d
f) $\frac23-\frac{5}{24}$a s v d

Question 8

a) $\frac12-\frac16$a s v d
b) $\frac23+\frac19$a s v d
c) $\frac35+\frac{3}{20}$a s v d
d) $\frac67-\frac{4}{21}$a s v d
e) $\frac12+\frac{23}{50}$a s v d
f) $\frac34-\frac{15}{32}$a s v d

Question 9

Calculate, leaving answers as simplified improper fractions where necessary:

a) $\frac12+\frac34$a s v d
b) $\frac35+\frac{7}{10}$a s v d
c) $\frac16+\frac{7}{30}$a s v d
d) $\frac53+\frac{7}{12}$a s v d
e) $\frac{22}{15}-\frac25$a s v d
f) $\frac{13}{21}+\frac{5}{3}$a s v d

Question 10

Calculate, leaving answers as simplified mixed numbers where necessary:

a) $1\frac23+2\frac16$a s v d
b) $1\frac12+1\frac78$a s v d
c) $2\frac16-\frac12$a s v d
d) $2\frac{5}{12}-1\frac13$a s v d
e) $\frac25+3\frac{7}{20}$a s v d
f) $9\frac29-4\frac{22}{45}$a s v d

Question 11

Calculate:

a) $\frac12+\frac13$a s v d
b) $\frac13+\frac14$a s v d
c) $\frac25+\frac14$a s v d
d) $\frac16+\frac34$a s v d
e) $\frac12+\frac25$a s v d
f) $\frac29+\frac35$a s v d

Question 12

Calculate:

a) $\frac12-\frac13$a s v d
b) $\frac34-\frac15$a s v d
c) $\frac23-\frac38$a s v d
d) $\frac89-\frac35$a s v d
e) $\frac{3}{10}-\frac14$a s v d
f) $\frac56-\frac58$a s v d

Question 13

Calculate, leaving answers as improper fractions where necessary:

a) $\frac34+\frac25$a s v d
b) $\frac23+\frac78$a s v d
c) $\frac53-\frac14$a s v d
d) $\frac{10}{3}-\frac{12}{5}$a s v d
e) $\frac54+\frac{7}{10}$a s v d
f) $\frac74-\frac59$a s v d

Question 14

Calculate, leaving answers as mixed numbers where necessary:

a) $1\frac14+2\frac15$a s v d
b) $4\frac56-\frac78$a s v d
c) $\frac12+4\frac59$a s v d
d) $2\frac{7}{10}-1\frac18$a s v d
e) $8\frac{7}{11}+5\frac23$a s v d
f) $10\frac19-8\frac16$a s v d

Question 15

Calculate, leaving answers as mixed numbers where necessary:

a) $\frac23+\frac13$a s v d
b) $\frac45-\frac15-\frac35$a s v d
c) $1\frac23-\frac43$a s v d
d) $6\frac14-\frac{25}{4}$a s v d
e) $\frac42+16$a s v d
f) $\frac24+\frac32$a s v d
g) $\frac14+\frac14+\frac14+\frac14+\frac14$a s v d
h) $\frac{17}{5}-1\frac25$a s v d
i) $\frac12+\frac13+\frac14$a s v d
j) $\frac53+1\frac16-\frac12$a s v d
k) $\frac83-\frac12-\frac35$a s v d
l) $1+\frac23+\frac54$a s v d
m) $\frac12+\left(\frac23-\frac34\right)$a s v d
n) $\frac{11}{20}-\frac32+2\frac45$a s v d
o) $4\frac34-\left(2\frac58-\frac67\right)$a s v d
p) $10\frac{11}{12}-\left(\frac85-\left(2\frac23+\frac{9}{10}\right)\right)$a s v d