What is the multiplicative inverse of -2 1/4
Answers
Answer:
-(4/9)
Step-by-step explanation:
Multiplicative inverse of a number is the same as the reciprocal of that number. We combine -2 and 1/4 to get
-9/4
The reciprocal is
-(4/9)
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Given : Number -2 1/4
To find : multiplicative inverse
Solution:
Multiplicative inverse of a number is the number which when multiplied with original number then result is 1.
Basically Multiplicative inverse of a number is reciprocal of the number
Multiplicative inverse of a is 1/a where a≠ 0
a * (1/a) = 1
Multiplicative inverse of a/b is b/a where a , b ≠ 0
(a/b) * (b/a) = 1
-2 1/4 = -9/4
Multiplicative inverse of - 9/4 is 4/(-9)
= -4/9
Hence -4/9 is the Multiplicative inverse of -2 1/4
Verification :
(-9/4) (-4/9) = 36/36 = 1
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