Solve the problem-1 512- 1122 1217-108343 815-3215

1) 5 12÷ 112 #10; #10; = 5 12×1 #10;112 #10; #10; 5 12÷ 112 = 5 1344 #10; #10;2) 1217÷108 #10;34 #10; #10; #160; ...

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Byju's Answer

Standard VII

Mathematics

Division of Fractions

Solve the pro...

Question

Solve the problem:-
1) $\frac{5}{12} \div 112$
2) $\frac{12}{17} \div \frac{108}{34}$
3) $\frac{8}{15} \div \frac{32}{15}$

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Solution

1) $\frac{5}{12} \div 112$

$= \frac{5}{12} \times \frac{1}{112}$ [Since $(\frac{a}{b}) \div (\frac{c}{d}) = \frac{a}{b} \times \frac{d}{c}$ , Here d=1]

$\frac{5}{12} \div 112 = \frac{5}{1344}$

2) $\frac{12}{17} \div \frac{108}{34} = \frac{12}{17} \times \frac{34}{108}$

$= \frac{1}{1} \times \frac{2}{9}$

$\frac{12}{17} \div \frac{108}{34} = \frac{2}{9}$

3) $\frac{8}{15} \div \frac{32}{15}$

$= \frac{8}{15} \times \frac{15}{32}$

$\frac{8}{15} \div \frac{32}{15} = \frac{1}{4}$

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Similar questions

Prove that:
(i) $\frac{1}{3 + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{3}} + \frac{1}{\sqrt{3} + 1} = 1$
(ii) $\frac{1}{1 + \sqrt{2}} + \frac{1}{\sqrt{2} + \sqrt{3}} + \frac{1}{\sqrt{3} + \sqrt{4}} + \frac{1}{\sqrt{4} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{9}} = 2$

Verify the following :

(i) $\frac{3}{7} \times (\frac{5}{6} + \frac{12}{13}) = (\frac{3}{7} \times \frac{5}{6}) + (\frac{3}{7} \times \frac{12}{13})$
(ii) $\frac{- 15}{4} \times (\frac{3}{7} + \frac{- 12}{5}) = (\frac{- 15}{4} \times \frac{3}{7}) + (\frac{- 15}{4} \times \frac{- 12}{5})$
(iii) $(\frac{- 8}{3} + \frac{- 13}{12}) \times \frac{5}{6} = (\frac{- 8}{3} \times \frac{5}{6}) + (\frac{- 13}{12} \times \frac{5}{6})$
(iv) $\frac{- 16}{7} \times (\frac{- 8}{9} + \frac{- 7}{6}) = (\frac{- 16}{7} \times \frac{- 8}{9}) + (\frac{- 16}{7} \times \frac{- 7}{6})$

Q. The distance (in km) of

40

engineers from their residence to their place of work were found as follows:

5, 3, 10, 20, 25, 11, 13, 7, 12, 31, 19, 10, 12, 17, 18, 11, 32, 17, 16, 2, 7, 9, 7, 8,

3, 5, 12, 15, 18, 3, 12, 14, 2, 9, 6, 15, 15, 7, 6, 12

How many engineers travelled distance more than

14

and less than

26

Question 8 (iii)
The distance (in km) of 40 engineers from their residence to their place of work were found as follows.
$\begin{matrix} 5 & 3 & 10 & 20 & 25 & 11 & 13 & 7 & 12 & 31 19 & 10 & 12 & 17 & 18 & 11 & 32 & 17 & 16 & 2 7 & 9 & 7 & 8 & 3 & 5 & 12 & 15 & 18 & 3 12 & 14 & 2 & 9 & 6 & 15 & 15 & 7 & 6 & 12 \end{matrix}$
What is the empirical probability that an engineer lives: within $\frac{1}{2}$ km from her place of work?