Solve the Mixed Number Equation: 70 = 4½b

To solve this problem, we'll follow these steps:

• Step 1: Convert the mixed number to an improper fraction
• Step 2: Isolate $b$ using multiplication
• Step 3: Simplify to find the value of $b$

Now, let's work through each step:

Step 1: Convert $4\frac{1}{2}$ to an improper fraction:

$4\frac{1}{2} = \frac{9}{2}$

Step 2: Isolate $b$ on one side of the equation:

The equation becomes $70 = \frac{9}{2}b$

To isolate $b$, multiply both sides by the reciprocal of $\frac{9}{2}$:

$b = 70 \times \frac{2}{9}$

Step 3: Perform the multiplication:

$b = \frac{70 \times 2}{9}$

$b = \frac{140}{9}$

The improper fraction $\frac{140}{9}$ converts to a mixed number:

$b = 15 \frac{5}{9}$

Therefore, the solution to the problem is $b = 15\frac{5}{9}$.