# Number - Dividing Fractions

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## Question 1

Calculate:

a) $1\div\frac12$a s v d
b) $1\div\frac13$a s v d
c) $1\div\frac14$a s v d
d) $1\div\frac17$a s v d
e) $2\div\frac12$a s v d
f) $2\div\frac25$a s v d

## Question 2

Calculate:

a) $\frac12\div\frac14$a s v d
b) $\frac13\div\frac19$a s v d
c) $\frac15\div\frac{1}{20}$a s v d
d) $\frac18\div\frac{1}{40}$a s v d
e) $\frac{1}{10}\div\frac{1}{100}$a s v d
f) $\frac{1}{15}\div\frac{1}{90}$a s v d

## Question 3

Calculate:

a) $\frac16\div\frac13$a s v d
b) $\frac{1}{20}\div\frac14$a s v d
c) $\frac{1}{15}\div\frac15$a s v d
d) $\frac{1}{24}\div\frac12$a s v d
e) $\frac{1}{18}\div\frac16$a s v d
f) $\frac{1}{68}\div\frac{1}{17}$a s v d

## Question 4

Calculate:

a) $\frac23\div\frac16$a s v d
b) $\frac34\div\frac18$a s v d
c) $\frac56\div\frac{1}{18}$a s v d
d) $\frac79\div\frac{1}{54}$a s v d
e) $\frac35\div\frac{1}{25}$a s v d
f) $\frac57\div\frac{1}{14}$a s v d

## Question 5

Calculate:

a) $\frac18\div\frac34$a s v d
b) $\frac{1}{10}\div\frac25$a s v d
c) $\frac{1}{20}\div\frac35$a s v d
d) $\frac{1}{18}\div\frac56$a s v d
e) $\frac{1}{70}\div\frac{7}{10}$a s v d
f) $\frac{1}{42}\div\frac{5}{7}$a s v d

## Question 6

Calculate:

a) $\frac25\div2$a s v d
b) $\frac34\div3$a s v d
c) $\frac13\div2$a s v d
d) $\frac23\div6$a s v d
e) $\frac56\div15$a s v d
f) $\frac34\div7$a s v d

## Question 7

Calculate, leaving answers as improper fractions where necessary:

a) $1\div\frac35$a s v d
b) $1\div\frac27$a s v d
c) $2\div\frac34$a s v d
d) $3\div\frac56$a s v d
e) $5\div\frac29$a s v d
f) $7\div\frac{3}{10}$a s v d

## Question 8

Calculate, leaving answers as improper fractions where necessary:

a) $\frac23\div\frac56$a s v d
b) $\frac25\div\frac{3}{10}$a s v d
c) $\frac34\div\frac{5}{12}$a s v d
d) $\frac45\div\frac{4}{15}$a s v d
e) $\frac27\div\frac{5}{21}$a s v d
f) $\frac{9}{10}\div\frac{3}{40}$a s v d

## Question 9

Calculate, leaving answers as improper fractions where necessary:

a) $\frac58\div\frac34$a s v d
b) $\frac79\div\frac23$a s v d
c) $\frac{4}{15}\div\frac25$a s v d
d) $\frac{11}{24}\div\frac78$a s v d
e) $\frac{6}{35}\div\frac57$a s v d
f) $\frac{9}{70}\div\frac{3}{10}$a s v d

## Question 10

Calculate, leaving answers as improper fractions where necessary:

a) $\frac23\div\frac57$a s v d
b) $\frac27\div\frac35$a s v d
c) $\frac49\div\frac38$a s v d
d) $\frac67\div\frac23$a s v d
e) $\frac25\div\frac34$a s v d
f) $\frac{15}{16}\div\frac{7}{10}$a s v d
g) $\frac25\div\frac{10}{11}$a s v d
h) $\frac37\div\frac{7}{8}$a s v d
i) $\frac23\div\frac{18}{23}$a s v d
j) $\frac{11}{13}\div\frac{5}{7}$a s v d
k) $\frac{3}{16}\div\frac{10}{21}$a s v d
l) $\frac{9}{16}\div\frac{8}{25}$a s v d

## Question 11

Calculate, leaving answers as improper fractions where necessary:

a) $\frac{3}{2}\div\frac{5}{3}$a s v d
b) $\frac{6}{5}\div\frac{7}{3}$a s v d
c) $\frac{9}{8}\div\frac{10}{7}$a s v d
d) $\frac{11}{2}\div\frac{14}{5}$a s v d
e) $\frac{5}{3}\div\frac{15}{8}$a s v d
f) $\frac{18}{5}\div\frac{16}{3}$a s v d

## Question 12

By simplifying fractions first, calculate the answer to the following. Leave answers as improper fractions where necessary:

a) $\frac{2}{4}\div\frac{10}{5}$a s v d
b) $\frac{3}{9}\div\frac{3}{12}$a s v d
c) $\frac{20}{8}\div\frac{9}{12}$a s v d
d) $\frac{30}{100}\div\frac{22}{40}$a s v d
e) $\frac{16}{40}\div\frac{9}{4}$a s v d
f) $\frac{102}{48}\div\frac{72}{80}$a s v d

## Question 13

By converting to improper fractions, calculate the answer to the following. Leave answers as mixed numbers where necessary:

a) $1\frac14\div\frac74$a s v d
b) $2\frac13\div\frac29$a s v d
c) $\frac45\div1\frac23$a s v d
d) $\frac69\div2\frac34$a s v d
e) $4\frac35\div\frac25$a s v d
f) $\frac{6}{10}\div5\frac{4}{16}$a s v d

## Question 14

Calculate. Leave answers as mixed numbers where necessary:

a) $1\frac25\div1\frac12$a s v d
b) $1\frac13\div2\frac14$a s v d
c) $2\frac34\div1\frac58$a s v d
d) $2\frac23\div3\frac15$a s v d
e) $2\frac24\div4\frac48$a s v d
f) $3\frac45\div2\frac14$a s v d
g) $7\frac12\div4\frac34$a s v d
h) $5\frac26\div1\frac23$a s v d
i) $11\frac{2}{10}\div1\frac{8}{20}$a s v d
j) $1\frac58\div8\frac13$a s v d
k) $1\frac{2}{16}\div4\frac{3}{8}$a s v d
l) $9\frac{10}{25}\div2\frac{6}{9}$a s v d
m) $9\frac45\div8\frac23$a s v d
n) $6\frac37\div2\frac{9}{10}$a s v d
o) $14\frac{12}{18}\div3\frac{26}{65}$a s v d
p) $11\frac{22}{77}\div3\frac{20}{24}$a s v d

## Question 15

Calculate. Leave answers as mixed numbers where necessary:

a) $-\frac23\div\frac13$a s v d
b) $\frac45\div-\frac89$a s v d
c) $-\frac34\div-\frac{5}{16}$a s v d
d) $-\frac65\div\frac89$a s v d
e) $-\frac94\div-\frac65$a s v d
f) $1\frac34\div-\frac58$a s v d
g) $5\frac46\div-2\frac{3}{9}$a s v d
h) $-4\frac67\div-2\frac{14}{15}$a s v d

## Question 16

Calculate. Leave answers as mixed numbers where necessary:

a) $\frac34\div\frac13\div\frac58$a s v d
b) $\frac34\div\left(\frac13\div\frac58\right)$a s v d
c) $\frac83\div\frac52\div\frac{12}{5}$a s v d
d) $\frac12\div\left(2\frac12\div\frac{9}{7}\right)$a s v d
e) $12\div\left(\frac96\div1\frac{5}{6}\div15\right)$a s v d
f) $2\frac13\div\left(\frac18\div\left(2\frac46\div\frac72\right)\right)\div\frac32$a s v d