What is the sum of the reciprocals of 4 7/9 and 43?
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Step-by-step explanation:
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Answer:
434
2021
Step-by-step explanation:
- In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.
In terms of examples,
- RECIPROCAL OF 39 = 1/39 (BECAUSE, a whole number always ends with denominator 1.)
- RECIPROCAL OF 24/4 = 4/24
- RECIPROCAL OF 39/36 = 36/39
So, the reciprocal of 47/9
= 9/47
Similarly, the reciprocal of 43
= 1/43
9/47 + 1/43
(Both 47 and 43 are prime numbers. They do not have a LCM. By multiplying 47 × 43, we get 2021.)
= 387 + 47
2021
= 434
2021
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