If a=4.9 and b=1 5/9, the determine the value of the reciprocal of b/a. Express your answer as a common fraction.
Please help! I don't understand the question!
a = 49/10
b = 14/9
The reciprocal of b/a is a/b
(49/10)/(14/9) = 49/10 * 9/14 = 441/140 = 63/20
To find the value of the reciprocal of b/a, we need to find the value of b/a first.
Given that a = 4.9 and b = 1 5/9, we can express b as a fraction with a common denominator:
b = 1 + 5/9 = 9/9 + 5/9 = 14/9
Now we can calculate b/a:
b/a = (14/9) / 4.9
To simplify this expression, we can multiply both the numerator and denominator by the reciprocal of 4.9, which is 1/4.9:
b/a = (14/9) * (1/4.9)
Now we can multiply the numerators and denominators:
b/a = (14 * 1) / (9 * 4.9)
b/a = 14 / 44.1
To express the answer as a common fraction, we need to simplify the fraction. We can divide both the numerator and denominator by their greatest common divisor, which is 2:
b/a = (14/2) / (44.1/2)
b/a = 7/22.05
Therefore, the value of the reciprocal of b/a is the reciprocal of 7/22.05, which is the fraction obtained by flipping numerator and denominator:
Reciprocal of b/a = 22.05/7
So the value is expressed as the common fraction 22.05/7.