Question 1011 Mark
Find
$2 \frac{1}{3} \div\frac{3}{5}$
AnswerWe have,
$2 \frac{1}{3} \div\frac{3}{5}=\left(\frac{2 \times 3+1}{3}\right) \div\frac{3}{5}=\left(\frac{6+1}{3}\right) \div\frac{3}{5}$
$
=\frac{7}{3} \times \frac{5}{3}=\frac{35}{9}
$
View full question & answer→Question 1021 Mark
Find
$\frac{3}{7} \div\frac{8}{7}$
AnswerWe have, $\frac{3}{7} \div\frac{8}{7}=\frac{3}{7} \times \frac{7}{8}=\frac{3 \times 7}{7 \times 8}=\frac{21}{56}=\frac{3}{8}$
View full question & answer→Question 1031 Mark
Find
$\frac{4}{9} \div\frac{2}{3}$
AnswerWe have, $\frac{4}{9} \div\frac{2}{3}=\frac{4}{9} \times \frac{3}{2}=\frac{4 \times 3}{9 \times 2}=\frac{12}{18}=\frac{2}{3}$
View full question & answer→Question 1041 Mark
Find
$\frac{2}{5} \div\frac{1}{2}$
AnswerWe have, $\frac{2}{5} \div\frac{1}{2}=\frac{2}{5} \times \frac{2}{1}=\frac{2 \times 2}{5 \times 1}=\frac{4}{5}$
View full question & answer→Question 1051 Mark
Find
$4 \frac{3}{7} \div7$
AnswerWe have,
$
\begin{aligned}
4 \frac{3}{7} \div 7 & =\left(\frac{4 \times 7+3}{7}\right) \div \frac{7}{1}=\left(\frac{28+3}{7}\right) \div \frac{7}{1} \\
& =\frac{31}{7} \times \frac{1}{7}=\frac{31}{49}
\end{aligned}
$
View full question & answer→Question 1061 Mark
Find
$3 \frac{1}{2} \div 4$
AnswerWe have,
$
\begin{aligned}
3 \frac{1}{2} \div 4 & =\left(\frac{3 \times 2+1}{2}\right) \div \frac{4}{1}=\left(\frac{6+1}{2}\right) \div \frac{4}{1} \\
& =\frac{7}{2} \times \frac{1}{4}=\frac{7 \times 1}{2 \times 4}=\frac{7}{8}
\end{aligned}
$
View full question & answer→Question 1071 Mark
Find
$4 \frac{1}{3} \div 3$
AnswerWe have, $4 \frac{1}{3} \div 3=\left(\frac{4 \times 3+1}{3}\right) \div \frac{3}{1}=\left(\frac{12+1}{3}\right) \div \frac{3}{1}$
$
=\frac{13}{3} \times \frac{1}{3}=\frac{13 \times 1}{3 \times 3}=\frac{13}{9}
$
View full question & answer→Question 1081 Mark
Find
$\frac{6}{13} \div 7$
AnswerWe have,
$\frac{6}{13} \div 7=\frac{6}{13} \div \frac{7}{1}=\frac{6}{13} \times \frac{1}{7}=\frac{6 \times 1}{13 \times 7}=\frac{6}{91}$
View full question & answer→Question 1091 Mark
Find
$\frac{4}{9} \div 5$
AnswerWe have,
$\frac{4}{9} \div 5=\frac{4}{9} \div \frac{5}{1}=\frac{4}{9} \times \frac{1}{5}=\frac{4 \times 1}{9 \times 5}=\frac{4}{45}$
View full question & answer→Question 1101 Mark
Find
$\frac{7}{3} \div2$
AnswerWe have, $\frac{7}{3} \div 2=\frac{7}{3} \div \frac{2}{1}=\frac{7}{3} \times \frac{1}{2}=\frac{7 \times 1}{3 \times 2}=\frac{7}{6}$
View full question & answer→Question 1111 Mark
Find$5 \div3 \frac{4}{7}$
AnswerWe have, $5 \div 3 \frac{4}{7}=5 \div\left(\frac{3 \times 7+4}{7}\right)$
$
\begin{array}{l}
=5 \div\left(\frac{21+4}{7}\right)=5 \div \frac{25}{7}=5 \times \frac{7}{25} \\
=\frac{5 \times 7}{25}=\frac{35}{25}=\frac{7}{5}
\end{array}
$
View full question & answer→Question 1121 Mark
Find$3 \div2 \frac{1}{3}$
AnswerWe have,
$3 \div 2 \frac{1}{3}=3 \div\left(\frac{2 \times 3+1}{3}\right)=3 \div\left(\frac{6+1}{3}\right)$
$
=3 \div \frac{7}{3}=3 \times \frac{3}{7}=\frac{3 \times 3}{7}=\frac{9}{7}
$
View full question & answer→Question 1131 Mark
Find$4 \div\frac{8}{3}$
AnswerWe have, $4 \div \frac{8}{3}=4 \times \frac{3}{8}=\frac{4 \times 3}{8}=\frac{12}{8}=\frac{3}{2}$
View full question & answer→Question 1141 Mark
Find$8 \div\frac{7}{3}$
AnswerWe have, $8 \div \frac{7}{3}=8 \times \frac{3}{7}=\frac{8 \times 3}{7}=\frac{24}{7}$
View full question & answer→Question 1151 Mark
Find$14 \div\frac{5}{6}$
AnswerWe have, $14 \div \frac{5}{6}=14 \times \frac{6}{5}=\frac{14 \times 6}{5}=\frac{84}{5}$
View full question & answer→Question 1161 Mark
Find$12 \div\frac{3}{4}$
AnswerWe have,
$12 \div\frac{3}{4}=12 \times \frac{4}{3}=\frac{12 \times 4}{3}=\frac{48}{3}=16$
View full question & answer→Question 1171 Mark
Multiply and reduce to lowest form (if possible).
$\frac{4}{5} \times \frac{12}{7}$
AnswerWe have, $\frac{4}{5} \times \frac{12}{7}=\frac{4 \times 12}{5 \times 7}=\frac{48}{35}=1 \frac{13}{35}$
View full question & answer→Question 1181 Mark
Multiply and reduce to lowest form (if possible).
$\frac{11}{2} \times \frac{3}{10}$
AnswerWe have, $\frac{11}{2} \times \frac{3}{10}=\frac{11 \times 3}{2 \times 10}=\frac{33}{20}=1 \frac{13}{20}$
View full question & answer→Question 1191 Mark
Multiply and reduce to lowest form (if possible).
$\frac{1}{3} \times \frac{15}{8}$
AnswerWe have, $\frac{1}{3} \times \frac{15}{8}=\frac{1 \times 15}{3 \times 8}=\frac{15}{24}=\frac{5}{8}$
View full question & answer→Question 1201 Mark
Multiply and reduce to lowest form (if possible).
$\frac{9}{5} \times \frac{3}{5}$
AnswerWe have, $\frac{9}{5} \times \frac{3}{5}=\frac{9 \times 3}{5 \times 5}=\frac{27}{25}=1 \frac{2}{25}$
View full question & answer→Question 1211 Mark
Multiply and reduce to lowest form (if possible).
$\frac{3}{8} \times \frac{6}{4}$
AnswerWe have, $\frac{3}{8} \times \frac{6}{4}=\frac{3 \times 6}{8 \times 4}=\frac{18}{32}=\frac{9}{16}$
View full question & answer→Question 1221 Mark
Multiply and reduce to lowest form (if possible).
$\frac{2}{7} \times \frac{7}{9}$
AnswerWe have, $\frac{2}{7} \times \frac{7}{9}=\frac{2 \times 7}{7 \times 9}=\frac{14}{63}=\frac{2}{9}$
View full question & answer→Question 1231 Mark
Multiply and reduce to lowest form (if possible).
$\frac{2}{3} \times 2 \frac{2}{3}$
AnswerWe have,
$\frac{2}{3} \times 2 \frac{2}{3}=\frac{2}{3} \times\left(\frac{2 \times 3+2}{3}\right)=\frac{2}{3} \times\left(\frac{6+2}{3}\right)$
$=\frac{2}{3} \times \frac{8}{3}=\frac{2 \times 8}{3 \times 3}=\frac{16}{9}=1 \frac{7}{9}$
View full question & answer→Question 1241 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$15 \times \frac{3}{5}$
View full question & answer→Question 1251 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$13 \times \frac{1}{3}$
View full question & answer→Question 1261 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$20 \times \frac{4}{5}$
View full question & answer→Question 1271 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$11 \times \frac{4}{7}$
View full question & answer→Question 1281 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$\frac{5}{2} \times 6$
View full question & answer→Question 1291 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$\frac{2}{3} \times 4$
View full question & answer→Question 1301 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$5 \times \frac{2}{9}$
View full question & answer→Question 1311 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$2 \times \frac{6}{7}$
View full question & answer→Question 1321 Mark
Multiply and reduce to lowest form and convert into a mixed fraction.
$4 \times \frac{1}{3}$
View full question & answer→Question 1331 Mark
A student multiplied two mixed fractions in the following manner :
$2 \frac{4}{7} \times 3 \frac{1}{4}=6 \frac{1}{7}$. What error the student has done?
View full question & answer→Question 1341 Mark
A student compared $-\frac{1}{4}$ and -0.3 . He changed $-\frac{1}{4}$ to the decimal -0.25 and wrote, "Since 0.3 is greater than $0.25,-0.3$ is greater than $-0.25^{\prime \prime}$. What was the student's error?
View full question & answer→Question 1351 Mark
View full question & answer→Question 1361 Mark
View full question & answer→Question 1371 Mark
View full question & answer→Question 1381 Mark
View full question & answer→Question 1391 Mark
State whether the answer is greater than 1 or less than 1. Put a ' ✔ ' mark in appropriate box.| Questions | Greater than 1 | Less than 1 |
| $\frac{2}{3}+\frac{1}{2}$ |
|
|
| $\frac{2}{3}+\frac{2}{1}$ |
|
|
| $6+\frac{1}{4}$ |
|
|
| $\frac{1}{5}+\frac{1}{2}$ |
|
|
| $4 \frac{1}{3}+3 \frac{1}{2}$ |
|
|
| $\frac{2}{3}+8 \frac{1}{2}$ |
|
|
Directions In questions 2 to 5, replace '?' with appropriate fraction. View full question & answer→Question 1401 Mark
Find the following products.
$\frac{1}{9} \times 2 \frac{3}{7}$
AnswerGiven,
$\text { } \begin{aligned}
\frac{1}{9} \times 2 \frac{3}{7} & =\frac{1}{9} \times \frac{(2 \times 7)+3}{7}=\frac{1}{9} \times \frac{(14+3)}{7} \\
& =\frac{1}{9} \times \frac{17}{7}=\frac{1 \times 17}{9 \times 7}=\frac{17}{63}
\end{aligned}
$
View full question & answer→Question 1411 Mark
Find the following products.
$2 \times 2 \frac{2}{3}$
AnswerGiven, $2 \times 2 \frac{2}{3}$
$
\begin{aligned}
\Rightarrow \frac{2}{1} \times \frac{(2 \times 3)+2}{3} & =\frac{2}{1} \times \frac{(6+2)}{3} \\
& =\frac{2}{1} \times \frac{8}{3}=\frac{16}{3}=5 \frac{1}{3}
\end{aligned}
$
View full question & answer→Question 1421 Mark
Find the following products.
$2 \times 4 \frac{1}{5}$
AnswerGiven, $2 \times 4 \frac{1}{5}$
$
\Rightarrow \frac{2}{1} \times \frac{(4 \times 5)+1}{5}=\frac{2}{1} \times \frac{21}{5}=\frac{2 \times 21}{1 \times 5}=\frac{42}{5}=8 \frac{2}{5}
$
View full question & answer→Question 1431 Mark
Find the following products.
$9 \times \frac{13}{21}$
AnswerGiven, $9 \times \frac{13}{21}$
$
\Rightarrow \frac{9}{1} \times \frac{13}{21}=\frac{9 \times 13}{1 \times 21}=\frac{117}{21}=\frac{39}{7}=5 \frac{4}{7}
$
View full question & answer→Question 1441 Mark
Find the following products.
$6 \times \frac{11}{18}$
AnswerGiven, $6 \times \frac{11}{18}$
$
\Rightarrow \frac{6}{1} \times \frac{11}{18}=\frac{6 \times 11}{1 \times 18}=\frac{66}{18}=\frac{33}{9}=\frac{11}{3}=3 \frac{2}{3}
$
View full question & answer→Question 1451 Mark
Find the following products.
$\frac{3}{7} \times 4$
AnswerGiven, $\frac{3}{7} \times 4=\frac{3}{7} \times \frac{4}{1}=\frac{3 \times 4}{7 \times 1}=\frac{12}{7}=1 \frac{5}{7}$
View full question & answer→
