Question

What should be subtracted from the product of3/7 and 2/5 to get -4/35?​

Answer 1

$\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = \frac{2}{7}}}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Let $x$ be the unknown number.

As per the question, we have

$\: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35}$

➺$\: \frac{6}{35} - x = \frac{ - 4}{35}$

➺$\: - x = \frac{ - 4}{35} - \frac{6}{35}$

➺$\: - x = \frac{ - 4 - 6}{35}$

➺$\: - x = \frac{ - 10}{35}$

➺$\: x = \frac{2}{7}$

Therefore, $\frac{2}{7}$ should be subtracted from the product of $\frac{3}{7}$ and $\frac{2}{5}$ to get $\frac{ - 4}{35}$.

$\large\mathfrak{{\pmb{\underline{\orange{To\:verify}}{\orange{:}}}}}$

$\: ( \frac{3}{7} \times \frac{2}{5} ) - x = \frac{ - 4}{35}$

➼$\: ( \frac{6}{35} ) - \frac{2}{7} = \frac{ - 4}{35}$

➼$\: \frac{6}{35} - \frac{2 \times 5}{7 \times 5} = \frac{ - 4}{35}$

➼$\: \frac{6 - 10}{35} = \frac{ - 4}{35}$

➼$\: \frac{ - 4}{35} = \frac{ - 4}{35}$

➼$\: L.H.S.=R. H. S$

$\sf\purple{Hence\:verified. }$

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{☂}}}}}$