True False[1 Marks ]

Question 11 Mark

$\frac{9}{16}<\frac{13}{24}$

Answer

False.
Solution:
By cross multiplication,
We have:
9 x 24 = 216 and 13 x 16 = 208
However, 216 > 208
$\frac{9}{16}<\frac{13}{24}$

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Question 21 Mark

$\frac{11}{25}$ of a litre = 440ml

Answer

True.
Solution:
$\frac{11}{25}\text{ of }1\text{ liter}=\frac{11}{25}\text{ of }1000\text{ml}$
$=\Big(1000\times\frac{11}{25}\Big)\text{ml}=(40\times11)\text{ml}$
$=440\text{ml}$

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Question 31 Mark

$16\frac{3}{4}\times6\frac{2}{5}=107\frac{3}{10}$

Answer

False.
Solution:
$16\frac{3}{4}\times6\frac{2}{5}=\Big(\frac{67}{4}\times\frac{32}{5}\Big)$
$=\Big(\frac{67\times32}{4\times5}\Big)=\Big(\frac{67\times8}{5}\Big)$
$=\frac{536}{5}=107\frac{1}{5}$

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Question 41 Mark

$\frac{11}{15}-\frac{9}{20}=\frac{17}{60}$

Answer

True.
Solution:
The LCM of 15 and 20
$=(5\times3\times4)=60$
$\therefore\frac{11}{15}-\frac{9}{20}=\frac{44-27}{60}=\frac{17}{60}$

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Question 51 Mark

Among $\frac{2}{5},\frac{16}{35}$ and $\frac{9}{14}$ the largest is $\frac{16}{35}$

Answer

False.
Solution:
The LCM of 5, 35 and 14 is 70
Now $\frac{2}{5}=\times\frac{14}{14}=\frac{28}{70}$
$\frac{16}{35}=\frac{16}{35}\times\frac{2}{2}=\frac{32}{70}$
$\frac{9}{14}=\frac{9}{14}\times\frac{5}{5}=\frac{45}{70}$
Clearly, $\frac{28}{70}<\frac{32}{70}<\frac{45}{70}$
$\therefore\frac{2}{5}<\frac{16}{35}<\frac{9}{14}$

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MATHS True False[1 Marks ]

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