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Number - Improper Fractions and Mixed Numbers

  a - answer    s - solution    v - video

Question 1


Classify the following as a proper fraction or an improper fraction (also known as top-heavy) or a mixed number:

a) $\frac13$  a s v
b) $\frac52$  a s v
c) $1\frac14$  a s v
d) $\frac67$  a s v
e) $\frac76$  a s v
f) $2\frac58$  a s v
g) $8\frac{3}{16}$  a s v
h) $\frac{99}{100}$  a s v
i) $\frac{20}{13}$  a s v
j) $506\frac{23}{40}$  a s v
k) $\frac{89}{15}$  a s v


Question 2


Convert the following improper fractions to mixed numbers

a) $\frac52$  a s v
b) $\frac72$  a s v
c) $\frac{11}{2}$  a s v
d) $\frac43$  a s v
e) $\frac83$  a s v
f) $\frac54$  a s v
g) $\frac74$  a s v
h) $\frac85$  a s v
i) $\frac{13}{5}$  a s v
j) $\frac{11}{6}$  a s v
k) $\frac{15}{7}$  a s v
l) $\frac{20}{9}$  a s v
m) $\frac{44}{7}$  a s v
n) $\frac{27}{10}$  a s v
o) $\frac{34}{11}$  a s v
p) $\frac{17}{12}$  a s v
q) $\frac{55}{12}$  a s v
r) $\frac{89}{7}$  a s v
s) $\frac{145}{11}$  a s v
t) $\frac{245}{12}$  a s v


Question 3


Convert the following mixed numbers to improper fractions

a) $2\frac34$  a s v
b) $3\frac25$  a s v
c) $4\frac13$  a s v
d) $1\frac12$  a s v
e) $1\frac16$  a s v
f) $2\frac59$  a s v
g) $5\frac15$  a s v
h) $6\frac34$  a s v
i) $7\frac13$  a s v
j) $4\frac45$  a s v
k) $8\frac23$  a s v
l) $10\frac79$  a s v
m) $8\frac57$  a s v
n) $9\frac59$  a s v
o) $12\frac35$  a s v
p) $8\frac89$  a s v
q) $4\frac{11}{15}$  a s v
r) $11\frac{4}{7}$  a s v
s) $12\frac{5}{11}$  a s v
t) $13\frac34$  a s v


Question 4


By turning both into mixed numbers, find which fraction is bigger

a) $2\frac12$ and $\frac32$  a s v
b) $3\frac14$ and $\frac{15}{4}$  a s v
c) $2\frac47$ and $\frac{13}{6}$  a s v
d) $4\frac25$ and $\frac{44}{9}$  a s v
e) $8\frac13$ and $\frac{26}{3}$  a s v
f) $4\frac{7}{10}$ and $\frac{56}{11}$  a s v
g) $4\frac{12}{13}$ and $\frac{63}{13}$  a s v
h) $12\frac{5}{13}$ and $\frac{160}{13}$  a s v