Question 11 Mark
Simplify:
$\frac{1}{3} \text { of } 60 \div 60$
Answer$\frac{1}{3} \text { of } 60 \div 60=\frac{1}{3} \times \frac{60}{1} \div \frac{60}{1}$
$=20 \times \frac{1}{60}=\frac{20}{60}=\frac{1}{3}$
View full question & answer→Question 21 Mark
Simplify:
$\frac{3}{4} \times 1 \frac{1}{3} \div \frac{3}{7} \text { of } 2 \frac{5}{8}$
Answer$\frac{3}{4} \times 1 \frac{1}{3} \div \frac{3}{7} \text { of } 2 \frac{5}{8}=\frac{3}{4} \times \frac{4}{3} \div \frac{9}{8} \ldots \ldots . .\left[\frac{3}{7} \text { of } 2 \frac{5}{8}=\frac{3}{7} \times \frac{21}{8}=\frac{9}{8}\right] $
$=\frac{3}{4} \times \frac{4}{3} \times \frac{8}{9}=\frac{8}{9}$
View full question & answer→Question 31 Mark
Simplify:
$6 \frac{1}{7} \times 0 \times 5 \frac{3}{8}$
Answer$6 \frac{1}{7} \times 0 \times 5 \frac{3}{8}=\frac{43}{7} \times \frac{0}{0} \times \frac{43}{8} $
$=\frac{43 \times 0 \times 43}{7 \times 0 \times 8}=0$
View full question & answer→Question 41 Mark
Simplify:
$1 \frac{1}{4} \times \frac{1}{2} \div 1 \frac{1}{3}$
Answer$1 \frac{1}{4} \times \frac{1}{2} \div 1 \frac{1}{3}=\frac{5}{4} \times \frac{1}{2} \div \frac{4}{3} $
$=\frac{5}{8} \times \frac{3}{4}=\frac{15}{32}$
View full question & answer→Question 51 Mark
Simplify:
$\frac{1}{4} \text { of } 2 \frac{2}{7} \div \frac{3}{5}$
Answer$\frac{1}{4} \text { of } 2 \frac{2}{7} \div \frac{3}{5} $
$=\frac{1}{4} \times \frac{16}{7} \div \frac{3}{5}=\frac{4}{7} \times \frac{5}{3}=\frac{20}{21}$
View full question & answer→Question 61 Mark
Simplify:
$2 \frac{1}{3} \div 1 \frac{3}{4}$
Answer$2 \frac{1}{3} \div 1 \frac{3}{4}=\frac{7}{3} \div \frac{7}{4}=\frac{7}{3} \times \frac{4}{7}$
$=\frac{4}{3}=1 \frac{1}{3}$
View full question & answer→Question 71 Mark
Simplify:
$
\frac{4}{9} \div \frac{4}{9}
$
Answer$
\frac{4}{9} \div \frac{4}{9}=\frac{4}{9} \times \frac{9}{4}=\frac{4 \times 9}{9 \times 4}=1
$
View full question & answer→Question 81 Mark
Simplify:
$
1 \div \frac{2}{5}
$
Answer$
1 \div \frac{2}{5}=\frac{1}{1} \div \frac{2}{5}=\frac{1}{1} \times \frac{5}{2}=\frac{5}{2}=2 \frac{1}{2}
$
View full question & answer→Question 91 Mark
Simplify:
$4 \frac{1}{2} \div \frac{4}{9}$
Answer$4 \frac{1}{2} \div \frac{4}{9}=\frac{9}{2} \div \frac{4}{9}=\frac{9}{2} \times \frac{9}{4}=\frac{9 \times 9}{2 \times 4} $
$=\frac{81}{8}=10 \frac{1}{8}$
View full question & answer→Question 101 Mark
Simplify:
$
\frac{2}{3} \div 1 \frac{1}{5}
$
Answer$
\frac{2}{3} \div 1 \frac{1}{5}=\frac{2}{3} \div \frac{6}{5}=\frac{2}{3} \times \frac{5}{6}=\frac{2 \times 5}{3 \times 6}=\frac{5}{9}
$
View full question & answer→Question 111 Mark
Simplify:
$\frac{3}{7} \times \frac{5}{9} \times 4 \frac{1}{5}$
Answer$\frac{3}{7} \times \frac{5}{9} \times 4 \frac{1}{5}=\frac{3}{7} \times \frac{5}{9} \times \frac{21}{5}$
$=\frac{3 \times 5 \times 21}{7 \times 9 \times 5}=1$
View full question & answer→Question 121 Mark
Simplify:
$\frac{1}{2} \text { of } \frac{1}{3} \times \frac{3}{4}$
Answer$\frac{1}{2} \text { of } \frac{1}{3} \times \frac{3}{4}=\frac{1}{2} \times \frac{1}{3} \times \frac{3}{4}=\frac{1}{6} \times \frac{3}{4}=\frac{1 \times 1}{2 \times 4}=\frac{1}{8} $
$\cdots \cdots . .\left[\text { Using Bodmas } \frac{1}{2} \text { of } \frac{1}{3}=\frac{1}{2} \times \frac{1}{3}=\frac{1}{6}\right]$
View full question & answer→Question 131 Mark
Simplify:
$3 \frac{3}{8} \times 3 \frac{6}{7}$
Answer$3 \frac{3}{8} \times 3 \frac{6}{7}=\frac{27}{8} \times \frac{27}{7} $
$=\frac{27 \times 27}{8 \times 7}=\frac{729}{56}=13 \frac{1}{56}$
View full question & answer→Question 141 Mark
Simplify:
$
\frac{7}{6} \text { of } \frac{3}{14}
$
Answer$
\frac{7}{6} \text { of } \frac{3}{14}=\frac{7}{6} \times \frac{3}{14}=\frac{3 \times 1}{2 \times 1}=\frac{1}{4}
$
View full question & answer→Question 151 Mark
Simplify:
$
\frac{5}{12} \times 8
$
Answer$
\frac{5}{12} \times 8=\frac{5}{12} \times \frac{8}{1}=\frac{5 \times 2}{3 \times 1}=\frac{10}{3}=3 \frac{1}{3}
$
View full question & answer→Question 161 Mark
Simplify:
$
\frac{4}{9} \times \frac{3}{5}
$
Answer$
\frac{4}{9} \times \frac{3}{5}=\frac{4 \times 3}{9 \times 5}=\frac{4 \times 1}{3 \times 5}=\frac{4}{15}
$
View full question & answer→Question 171 Mark
Simplify:
$
\frac{3}{7} \times \frac{2}{5}
$
Answer$
\frac{3}{7} \times \frac{2}{5}=\frac{3 \times 2}{7 \times 5}=\frac{6}{35}
$
View full question & answer→Question 181 Mark
Reduce the given fraction to their lowest term:
$
\frac{105}{70}
$
Answer$
\frac{105}{70}=\frac{105 \div 35}{70 \div 35}=\frac{3}{2}
$
View full question & answer→Question 191 Mark
Reduce the given fraction to their lowest term:
$
\frac{40}{120}
$
Answer$
\frac{40}{120}=\frac{40 \div 40}{120 \div 40}=\frac{1}{3}
$
View full question & answer→Question 201 Mark
Reduce the given fraction to their lowest term:
$
\frac{18}{81}
$
Answer$
\frac{18}{81}=\frac{18 \div 9}{81 \div 9}=\frac{2}{9}
$
View full question & answer→Question 211 Mark
Reduce the given fraction to their lowest term:
$
\frac{50}{75}
$
Answer$
\frac{50}{75}=\frac{50 \div 25}{75 \div 25}=\frac{2}{3}
$
View full question & answer→Question 221 Mark
Reduce the given fraction to their lowest term:
$
\frac{8}{10}
$
Answer$
\frac{8}{10}=\frac{8 \div 2}{10 \div 2}=\frac{4}{5}
$
View full question & answer→Question 231 Mark
Change the following improper fraction to mixed fraction:
$
-\frac{113}{15}
$
Answer$
-\frac{113}{15}=-7 \frac{8}{15}
$
View full question & answer→Question 241 Mark
Change the following improper fraction to mixed fraction:
$
-\frac{209}{7}
$
Answer$
-\frac{209}{7}=-29 \frac{6}{7}
$
View full question & answer→Question 251 Mark
Change the following improper fraction to mixed fraction:
$
\frac{81}{11}
$
Answer$
\frac{81}{11}=7 \frac{4}{11}
$
View full question & answer→Question 261 Mark
Change the following improper fraction to mixed fraction:
$
\frac{100}{17}
$
Answer$
\frac{100}{17}=5 \frac{15}{17}
$
View full question & answer→Question 271 Mark
Change the following mixed fraction to improper fraction:
$
2 \frac{1}{11}
$
Answer$
2 \frac{1}{11}=\frac{2 \times 11+1}{11}=\frac{22+1}{11}=\frac{23}{11}
$
View full question & answer→Question 281 Mark
Change the following mixed fraction to improper fraction:
$
7 \frac{1}{8}
$
Answer$
7 \frac{1}{8}=\frac{7 \times 8+1}{8}=\frac{56+1}{8}=\frac{57}{8}
$
View full question & answer→Question 291 Mark
Change the following mixed fraction to improper fraction:
$
3 \frac{1}{4}
$
Answer$
3 \frac{1}{4}=\frac{3 \times 4+1}{4}=\frac{12+1}{4}=\frac{13}{4}
$
View full question & answer→Question 301 Mark
Change the following mixed fraction to improper fraction:
$
2 \frac{1}{5}
$
Answer$
2 \frac{1}{5}=\frac{2 \times 5+1}{5}=\frac{10+1}{5}=\frac{11}{5}
$
View full question & answer→Question 311 Mark
From the following fractions, separate improper fractions:
$
\frac{2}{9}, \frac{4}{3}, \frac{7}{15}, \frac{11}{20}, \frac{20}{11}, \frac{18}{23} \text { and } \frac{27}{35} \text {. }
$
AnswerWe know that improper fraction is the fraction whose numerator is greater them its denominator.
$\frac{4}{3}, \frac{20}{11}$ are improper fractions.
View full question & answer→Question 321 Mark
From the following fractions, separate proper fractions:
$
\frac{2}{9}, \frac{4}{3}, \frac{7}{15}, \frac{11}{20}, \frac{20}{11}, \frac{18}{23} \text { and } \frac{27}{35} \text {. }
$
AnswerWe know that proper fraction is a fraction whose numerator is less than its denominator.
$\frac{2}{9}, \frac{7}{15}, \frac{11}{20}, \frac{18}{23}$ and $\frac{27}{35}$ are proper fractions.
View full question & answer→