Question

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

Answer 1

`\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{☂}}}}}`