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4 votes
What should be subtracted from the product of
3/7 and 2/5 to get -4/35?​

User Rashed
by
7.4k points

1 Answer

3 votes


\implies {\pink {\boxed {\boxed {\purple {\sf { \: x = (2)/(7)}}}}}}


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

Let
x be the unknown number.

As per the question, we have


\: ( (3)/(7) * (2)/(5) ) - x = ( - 4)/(35)


\: (6)/(35) - x = ( - 4)/(35)


\: - x = ( - 4)/(35) - (6)/(35)


\: - x = ( - 4 - 6)/(35)


\: - x = ( - 10)/(35)


\: x = (2)/(7)

Therefore,
(2)/(7) should be subtracted from the product of
(3)/(7) and
(2)/(5) to get
( - 4)/(35).


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


\: ( (3)/(7) * (2)/(5) ) - x = ( - 4)/(35)


\: ( (6)/(35) ) - (2)/(7) = ( - 4)/(35)


\: (6)/(35) - (2 * 5)/(7 * 5) = ( - 4)/(35)


\: (6 - 10)/(35) = ( - 4)/(35)


\: ( - 4)/(35) = ( - 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{☂}}}}}

User Simas Joneliunas
by
8.2k points

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