Find the value of the following- 3 5 - 21 35 - 7 5

Given (35÷2135)÷75 35÷2135=35×3521=77=1 1÷75=1×57=57 Hence, #160; (35÷2135)÷75=57 ...

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Standard VI

Mathematics

Word Problems

Find the valu...

Question

Find the value of the following:
$(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5}$

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Solution

Given $(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5}$

$\frac{3}{5} \div \frac{21}{35} = \frac{3}{5} \times \frac{35}{21} = \frac{7}{7} = 1$

$1 \div \frac{7}{5} = 1 \times \frac{5}{7} = \frac{5}{7}$

Hence, $(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5} = \frac{5}{7}$

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Similar questions

Q. If

x = \frac{\sqrt{5} + \sqrt{3}}{\sqrt{5} - \sqrt{3}}

and

y = \frac{\sqrt{5} - \sqrt{3}}{\sqrt{5} + \sqrt{3}}

, find the value of (x² + y²).
or
Simplify:

\frac{(7 + 3 \sqrt{5})}{(3 + \sqrt{5})} - \frac{(7 - 3 \sqrt{5})}{(3 - \sqrt{5})}

Verify each of the following :

(i) $(\frac{5}{7} \times \frac{12}{13}) \times \frac{7}{18} = \frac{5}{7} \times (\frac{12}{13} \times \frac{7}{18})$
(ii) $\frac{- 13}{24} \times (\frac{- 12}{5} \times \frac{35}{36}) = (\frac{- 13}{24} \times \frac{- 12}{5}) \times \frac{35}{36}$
(iii) $(\frac{- 9}{5} \times \frac{- 10}{3}) \times \frac{21}{- 4} = \frac{- 9}{5} \times (\frac{- 10}{3} \times \frac{21}{- 4})$

Q. Find the value of following determinant.

∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{7}{3} & \frac{5}{3} \frac{3}{2} & \frac{1}{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

Q. Find the approximate value of mode for the following data

:

Class interval	$7 - 14$	$14 - 21$	$21 - 28$	$28 - 35$	$35 - 42$
Frequency	$2$	$4$	$3$	$10$	$1$

Q. Find the value of the following determinants.

∣ ∣ ∣ ∣ ∣ \begin{matrix} \frac{7}{3} & \frac{5}{3} \frac{3}{2} & \frac{1}{2} \end{matrix} ∣ ∣ ∣ ∣ ∣

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Find the value of the following:(35÷2135)÷75

Given (35÷2135)÷7535÷2135=35×3521=77=11÷75=1×57=57Hence, (35÷2135)÷75=57

Find the value of the following:
$(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5}$

Given $(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5}$

$\frac{3}{5} \div \frac{21}{35} = \frac{3}{5} \times \frac{35}{21} = \frac{7}{7} = 1$

$1 \div \frac{7}{5} = 1 \times \frac{5}{7} = \frac{5}{7}$

Hence, $(\frac{3}{5} \div \frac{21}{35}) \div \frac{7}{5} = \frac{5}{7}$