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Fractions and Decimals · ICSE STD 7 (ICSE - English Medium). 16 questions.

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16 questions · timed · auto-graded

Question 11 Mark
Ravi ate $\frac{2}{7}$ part of a cake while his sister Rani ate $\frac{4}{5}$ of the remaining. Part of the cake left is ......
Answer
Ravi ate $\frac{2}{7}$ part of a cake while his sister
Rani ate $\frac{4}{5}$ of the remaining. Part of the cake left is $\qquad$
Ravi ate $=\frac{2}{7}$ part
Remaining $=1-\frac{2}{7}=\frac{7-2}{7}=\frac{5}{7}$
His sister ate $=\frac{4}{5}$ of $\frac{5}{7}=\frac{4}{5} \times \frac{5}{7}=\frac{4}{7}$
$\therefore$ Remaining part $\frac{5}{7}-\frac{4}{7}=\frac{1}{7}$
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Question 21 Mark
The lowest form of the product $2 \frac{3}{7} \times \frac{7}{9}$ is ...............
Answer
The lowest form of the product $2 \frac{3}{7} \times \frac{7}{9}$
$=\frac{17}{7} \times \frac{7}{9}=\frac{17}{9}$
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Question 31 Mark
The product of a proper fraction and an improper fraction is …… the improper fraction.
Answer
The product of a proper fraction and an improper fraction is less than the improper fraction.
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Question 71 Mark
$0.32 \div 8 = …….$
Answer
$0.32 \div 8=\frac{32}{100} \div 8$
$=\frac{32}{100 \times 8}$
$=\frac{4}{100}$
$=0.04$
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Question 81 Mark
5.4 × 2.35 = ……
Answer
$5.4 \times 2.35= 1 2 . 6 9 0$ or $1 2 . 6 9$
$\begin{array}{r}
2.35 \\
\times 5.4 \\
\hline 940 \\
911750 \\
\hline \underline{12690} \\
\hline
\end{array}$
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Question 91 Mark
If the price of 7 similar pens is ₹ 37.80, then the price of each pen is ……..
Answer
If the price of 7 similar pens is ₹ 37.80, then the price of each pen is ₹ 5.40 .
$\left\{\because Rs. \frac{37.80}{7}=5.40\right\}$
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Question 101 Mark
$1 \frac{2}{3} \div 2 \frac{1}{5}=$ ..............
Answer
$1 \frac{2}{3} \div 2 \frac{1}{5}=\frac{25}{33}$ $\left\{\because \frac{5}{3} \div \frac{11}{5}=\frac{5}{3} \times \frac{5}{11}=\frac{25}{33}\right\}$
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Question 111 Mark
$2 \frac{3}{7} \times 4 \frac{2}{3}=$ .............
Answer
$2 \frac{3}{7} \times 4 \frac{2}{3}=\frac{34}{3} . \quad\left\{\because \frac{17}{9} \times \frac{14}{3}=\frac{34}{3}\right\}$
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Question 121 Mark
There are ............. minutes in $\frac{2}{5}$ th of 2 hours.
Answer
There are 48 minutes in $\frac{2}{5}$ th of 2 hours.
$\left(\frac{2}{5} \times 2=\frac{4}{5} \text { hour }=\frac{4}{5} \times 60=48 \text { minutes }\right)$
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Question 131 Mark
The reciprocal of the fraction $2 \frac{3}{8}$ is ……..
Answer
The reciprocal of the fraction $2 \frac{3}{8}$ is $\frac{8}{19}$.
$\left\{\because 2 \frac{3}{8}=\frac{19}{8}\right\}$
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Question 141 Mark
$\frac{154}{286}=\frac{\ldots \ldots .}{13}$
Answer
$\frac{154}{286}=\frac{7}{13}$ \{Dividing each by 22$\}$
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Question 151 Mark
$\frac{114}{138}$ reduced to simplest forms is ……….
Answer
$\frac{114}{138}$ reduced to simplest forms is $\frac{19}{23}$. \{Dividing each by 6$\}$
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Question 161 Mark
In fractions with same numerator, the fraction with greater denominator is …….
Answer
In fractions with same numerator, the fraction with greater denominator is smaller.
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