what should be added to twice the rational number-7/3 to get 3/7 . answer this question please this is very important
Answers
Tricky Question, huh? Well let's see-
Answer:
Now, let us assume that the number that should be added is x. The meaning of twice of -7/3 means we need to multiply the numerator of this rational number with 2, so we get, 2×(-7/3) = -14/3
So we need to add -14/3 with x to get 3/7, therefore the expression will be given as:
⇒x+(−14/3)=3/7
Clearly this is a linear equation in x so we need to solve for the value of x. Leaving x in the L.H.S and taking all other terms to the R.H.S we get,
⇒x=3/7− (−14/3)
We know that (−1) × (−1)=1 so we get,
⇒x=3/7+14/3
Taking the L.C.M of 7 and 3 which is 21 we get,
⇒x=(3×3)+(14×7)/21
⇒x=9+98/21
∴x=107/21
Hence the required number that must be added is 107/21.
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Answer:
107/21
Step-by-step explanation:
3/7 – (-7/3 x 2)
=3/7 – (-14/3)
=3/7 + 14/3
=(3 x 3 + 14 x 7)/21
= 9+98/21
=107/21
Hope it helps,,,,