Evaluate each of the following-i-23-35

To find: 23 35 ∴23 35=2×53×5 3×35×3 =1015 915 =10 915 =115 Thus, nbsp;23 35=115 nbsp; ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VI

Mathematics

Word Problems

Evaluate each...

Question

Evaluate each of the following:
$(i) . \frac{2}{3} - \frac{3}{5}$

Open in App

Solution

To find: $\frac{2}{3} - \frac{3}{5}$

$∴ \frac{2}{3} - \frac{3}{5} = \frac{2 \times 5}{3 \times 5} - \frac{3 \times 3}{5 \times 3}$

$= \frac{10}{15} - \frac{9}{15}$

$= \frac{10 - 9}{15}$

$= \frac{1}{15}$

Thus, $\frac{2}{3} - \frac{3}{5} = \frac{1}{15}$

Suggest Corrections

Similar questions

Evaluate each of the following:
(i) $\frac{2}{3} - \frac{3}{5}$

(ii) $\frac{- 4}{7} - \frac{2}{(- 3)}$

(iii) $\frac{4}{7} - \frac{(- 5)}{(- 7)}$

(iv) $\frac{- 2}{1} - \frac{5}{9}$

Q. Evaluate each of the following:
(i)

\frac{2}{3} - \frac{3}{5}

(ii)

- \frac{4}{7} - \frac{2}{- 3}

(iii)

\frac{4}{7} - \frac{- 5}{- 7}

(iv)

- 2 - \frac{5}{9}

(v)

\frac{- 3}{- 8} - \frac{- 2}{7}

(vi)

\frac{- 4}{13} - \frac{- 5}{26}

(vii)

\frac{- 5}{14} - \frac{- 2}{7}

(viii)

\frac{13}{15} - \frac{12}{25}

(ix)

\frac{- 6}{13} - \frac{- 7}{13}

(x)

\frac{7}{24} - \frac{19}{36}

(xi)

\frac{5}{63} - \frac{- 8}{21}

Rationalise the denominators of each of the following:

(i) $\frac{3}{\sqrt{5}}$

(ii) $\frac{3}{2 \sqrt{5}}$

(iii) $\frac{1}{\sqrt{12}}$

(iv) $\frac{\sqrt{2}}{\sqrt{5}}$

(v) $\frac{\sqrt{3} + 1}{\sqrt{2}}$

(vi) $\frac{\sqrt{2} + \sqrt{5}}{\sqrt{3}}$

(vii) $\frac{3 \sqrt{2}}{\sqrt{5}}$

Q. Evaluate the following:
(i)

([\begin{matrix} 1 & 3 \\ - 1 & - 4 \end{matrix}] + [\begin{matrix} 3 & - 2 \\ - 1 & 1 \end{matrix}]) [\begin{matrix} 1 & 3 & 5 \\ 2 & 4 & 6 \end{matrix}]

(ii)

[1 2 3] [\begin{matrix} 1 & 0 & 2 \\ 2 & 0 & 1 \\ 0 & 1 & 2 \end{matrix}] [\begin{matrix} 2 \\ 4 \\ 6 \end{matrix}]

(iii)

[\begin{matrix} 1 & - 1 \\ 0 & 2 \\ 2 & 3 \end{matrix}] ([\begin{matrix} 1 & 0 & 2 \\ 2 & 0 & 1 \end{matrix}] - [\begin{matrix} 0 & 1 & 2 \\ 1 & 0 & 2 \end{matrix}])

Q. Evaluate each of the following:
(i)

{}^{8}P_{3}

(ii)

{}^{10}P_{4}

(iii)

{}^{6}P_{6}

(iv) P(6, 4)

Join BYJU'S Learning Program

Explore more

Word Problems

Standard VI Mathematics

Join BYJU'S Learning Program

Evaluate each of the following: (i).23−35

To find: 23−35 ∴23−35=2×53×5−3×35×3 =1015−915 =10−915 =115 Thus, 23−35=115

Evaluate each of the following:
$(i) . \frac{2}{3} - \frac{3}{5}$

To find: $\frac{2}{3} - \frac{3}{5}$

$∴ \frac{2}{3} - \frac{3}{5} = \frac{2 \times 5}{3 \times 5} - \frac{3 \times 3}{5 \times 3}$

$= \frac{10}{15} - \frac{9}{15}$

$= \frac{10 - 9}{15}$

$= \frac{1}{15}$

Thus, $\frac{2}{3} - \frac{3}{5} = \frac{1}{15}$