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Number - Adding and Subtracting Fractions

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Question 1


Calculate:

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


Question 2


Calculate:

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


Question 3


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

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


Question 4


Calculate, leaving answers as mixed numbers where necessary:

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


Question 5


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

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


Question 6


Calculate:

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


Question 7


Calculate:

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


Question 8


Calculate, simplifying answers where necessary:

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


Question 9


Calculate, leaving answers as simplified improper fractions where necessary:

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


Question 10


Calculate, leaving answers as simplified mixed numbers where necessary:

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


Question 11


Calculate:

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


Question 12


Calculate:

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


Question 13


Calculate, leaving answers as improper fractions where necessary:

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


Question 14


Calculate, leaving answers as mixed numbers where necessary:

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


Question 15


Calculate, leaving answers as mixed numbers where necessary:

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