Number - Improper Fractions and Mixed Numbers

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

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


Question 2


Convert the following improper fractions to mixed numbers

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


Question 3


Convert the following mixed numbers to improper fractions

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


Question 4


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

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