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klasskru [66]
3 years ago
9

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

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

\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{☂}}}}}

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