If 1/a : 1/b : 1/c = 2 : 3 : 7, then a : b : c is equal to :

To find the ratio a : b : c when given 1/a : 1/b : 1/c = 2 : 3 : 7, we need to find the reciprocals of the given values.

Step-by-Step Calculation
Set up the reciprocal relationship:
If 1/a : 1/b : 1/c = 2 : 3 : 7, then:

a : b : c = 1/2 : 1/3 : 1/7

Find the Least Common Multiple (LCM):
To simplify this ratio, we need to eliminate the fractions by multiplying each term by the LCM of the denominators (2, 3, and 7).

LCM(2, 3, 7) = 2 * 3 * 7 = 42

Multiply by the LCM:

a = (1/2) * 42 = 21

b = (1/3) * 42 = 14

c = (1/7) * 42 = 6

Therefore, a : b : c = 21 : 14 : 6.