Question

find the value (3-¹ + 4-¹ + 5-¹)​

Answer 1

Given,

$:\implies {3}^{ - 1} + {4}^{ - 1} + {5}^{ - 1}$

To Find,

• The Solution.

Solution,

$:\implies {3}^{ - 1} + {4}^{ - 1} + {5}^{ - 1} \\ \\ :\implies {3}^{ - 1} + {4}^{ - 1} + {5}^{ - 1} \\ \\ :\implies \frac{1}{ {3}^{1} } + \frac{1}{ {4}^{1} } + \frac{1}{ {5}^{1} } \\ \\ :\implies \frac{1}{3} + \frac{1}{4} + \frac{1}{5} \\ \\ :\implies \frac{1 \times 20 + 1 \times 15 + 1 \times 12}{60} \\ \\ :\implies \frac{20 + 15 + 12}{60} \\ \\ :\implies \frac{47}{60}$

To Find,

$:\implies \frac{47}{60 }$

Answer 2

Step-by-step explanation:

1/3+1/4+1/5

take 3,4,5 LCM

20+15+12/60

47/60

this is the ans 47/60