Solve the equation. {:[(4)/(3)b=(4)/(5)],[b=]:}

Identify equation: Identify the equation to solve. We have the equation (4/3)b = (4/5). We need to find the value of b.Isolate variable: Isolate the variable b. To isolate b, we can multiply both sides of the equation by the reciprocal of (4/3), which is (3/4). (3/4) * (4/3)b = (3/4) * (4/5)Perform multiplication: Perform the multiplication on both sides. On the left side, (3/4) * (4/3) = 1, so we are left with b. On the right side, (3/4) * (4/5) = (3*4)/(4*5) = 12/20.Simplify fraction: Simplify the fraction on the right side. 12/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 4. 12/20 = (12/4)/(20/4) = 3/5.Write final value: Write down the final value of b. So, b = 3/5.

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Solve the equation.

{:[(4)/(3)b=(4)/(5)],[b=]:}

Solve the equation. $\newline$ $\begin{array}{l} \frac{4}{3} b=\frac{4}{5} \\ b= \end{array}$

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Grade 6

Multiply two decimals: where does the decimal point go?

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Q. Solve the equation.

\newline

\begin{array}{l} \frac{4}{3} b=\frac{4}{5} \\ b= \end{array}

Identify equation: Identify the equation to solve. $\newline$ We have the equation $(\frac{4}{3})b = (\frac{4}{5})$ . We need to find the value of $b$ .
Isolate variable: Isolate the variable $b$ . To isolate $b$ , we can multiply both sides of the equation by the reciprocal of $\frac{4}{3}$ , which is $\frac{3}{4}$ . $\frac{3}{4} \times \frac{4}{3}b = \frac{3}{4} \times \frac{4}{5}$
Perform multiplication: Perform the multiplication on both sides. $\newline$ On the left side, $(\frac{3}{4}) \times (\frac{4}{3}) = 1$ , so we are left with $b$ . $\newline$ On the right side, $(\frac{3}{4}) \times (\frac{4}{5}) = (\frac{3\times4}{4\times5}) = \frac{12}{20}$ .
Simplify fraction: Simplify the fraction on the right side. $\newline$ $\frac{12}{20}$ can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is $4$ . $\newline$ $\frac{12}{20} = \frac{12/4}{20/4} = \frac{3}{5}$ .
Write final value: Write down the final value of $b$ . $\newline$ So, $b = \frac{3}{5}$ .