Question

Simplify 2/3 of 5/7 of -9/10​

Answer 1

Answer:

$\large\bold\green{Given :-}$

$\implies$ $\dfrac{2}{3} \:of\: \dfrac{5}{7} \:of\: \dfrac{- 9}{10}$

$\large\bold\purple{Solution :-}$

$\implies$ $\dfrac{2}{3} \:of\: \dfrac{5}{7} \:of\: \dfrac{- 9}{10}$

$\Rightarrow$ $\dfrac{2}{3} × \dfrac{5}{7} × \dfrac{- 9}{10}$

$\Rightarrow$ $\dfrac{10}{21} × \dfrac{- 9}{10}$

$\Rightarrow$ $\cancel{\dfrac{- 90}{210}}$

$\Rightarrow$ $\dfrac{- 3}{7}$

$\therefore$ $The\: answer\: of\: this\: question\: is\: \dfrac{- 3}{7}$

Answer 2

$\huge\underline{\underline{\purple { \sf \: given \: that : - }}}\:$

• 2/3 × 5/7 × -9/10

$\huge\underline{\underline{\blue { \sf \: to \: find : - }}}$

• simplify the given statement

$\huge\underline{\underline{\green { \sf \: solution : - }}}$

given data and solving method explanation

• it is given 2/3 × 5/7 × -9/10 . let first we take L.C.M of denominator 3 , 7 and 10 = 210

$\tt\qquad\: \purple \longrightarrow \dfrac{2}{3} \times \dfrac{5}{7} \times \dfrac{ - 9}{10}$

we take LCM of denominator we get

$\tt \qquad\: \purple \longrightarrow \dfrac{2}{3} \times \frac{5}{7} \times \frac{ - 9}{10} \\ \\ \\ \\ \tt \qquad\: \purple \longrightarrow \frac{2 \times 5 \times ( - 9)}{210} \\ \\ \\ \\ \tt \qquad\: \purple \longrightarrow \frac{10 \times ( - 9)}{210 } \\ \\ \\ \\ \tt \qquad\: \purple \longrightarrow \dfrac{ - 9 \cancel0}{21 \cancel0} \\ \\ \\ \\ \tt \qquad\: \purple \longrightarrow \frac{ - \cancel9}{ \cancel{21}} \\ \\ \\ \\ \tt \qquad\: \purple \longrightarrow \frac{ - 3}{7}$

hence 2/3 × 5/7 × -9/10 = -3/7