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Oliga [24]
3 years ago
12

The decimal $0.76$ is equal to the fraction $\frac{4b+19}{6b+11}$, where $b$ is a positive integer. What is the value of $b$?

Mathematics
1 answer:
Vadim26 [7]3 years ago
3 0

Answer:

The value of b is 19.

Step-by-step explanation:

With what the problem states, we have that:

\frac{4b + 19}{6b + 11} = 0.76

Doing cross multiplication

4b + 19 = 0.76(6b + 11)

4b + 19 = 4.56b + 8.36

4.56b - 4n = 19 - 8.36

0.56b = 10.64

b = \frac{10.64}{0.56}

b = 19

The value of b is 19.

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