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Find the value of b and simplify your answer.

(4)/(3)b=10

Find the value of $b$ and simplify your answer. $\newline$ $\frac{4}{3}b=10$

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Powers with fractional bases

Full solution

Q. Find the value of

b

and simplify your answer.

\newline

\frac{4}{3}b=10

Given Equation: We are given the equation $(\frac{4}{3})b = 10$ . To find the value of $b$ , we need to isolate $b$ on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of $(\frac{4}{3})$ , which is $(\frac{3}{4})$ .
Multiply by Reciprocal: Multiply both sides of the equation by $(\frac{3}{4})$ to isolate $b$ . $\left(\frac{3}{4}\right) \times \left(\frac{4}{3}b\right) = \left(\frac{3}{4}\right) \times 10$
Simplify Left Side: Simplify the left side of the equation. The $\frac{3}{4}$ and $\frac{4}{3}$ will cancel each other out, leaving us with $b$ . $b = \left(\frac{3}{4}\right) \times 10$
Multiply by $10$ : Now, multiply $(3)/(4)$ by $10$ to find the value of $b$ . $b = (3 \times 10) / 4$ $b = 30 / 4$
Final Simplification: Simplify the fraction $\frac{30}{4}$ to get the final value of $b$ . $b = 7.5$

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