find the sum of addictive inverse of -5/-12 and the multiplicative inverse of 12/7.
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find the sum of addictive inverse of -5/-12 and the multiplicative inverse of 12/7.
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Answer:
is to find a number that is one more than a multiple of 12 and is also divisible by 7.
1 * 12 + 1 = 13 is not divisible by 7
2 * 12 + 1 = 25 is not divisible by 7, but is divisible by 5.
hmmm. 5 is the additive inverse of 7.
5 * 5 = 1 mod 12.
(-5) * (-5) = 1 mod 12
7 * 7 = 1 mod 12.
7 * 7 = 49 = 48 + 1 = 4 * 12 + 1
Yep, 7 * 7 is one more than a multiple of 12.
7 is the multiplicative inverse of 7 in mod 12
ADDITIVE INVERSE OF -5/-12 =
[tex] \frac{5}{12} [/tex]
MULTIPLICATIVE INVERSE OF 12/7 =
[tex] \frac{7}{12} [/tex]
SUM= 5/12+7/12
12/12
=1
1 IS THE FINAL ANSWER