Complete the following stepped-out solution to show that 15+g+3/2⋅2/3 is equivalent to 16+g .
To prove that 15+g+3/2⋅2/3 is equivalent to 16+g, we need to simplify the expression.
Step 1: Start with the given expression: 15+g+3/2⋅2/3
Step 2: Simplify the multiplication: 3/2⋅2/3 is equal to (3⋅2)/(2⋅3). The numerator simplifies to 6 and the denominator simplifies to 6.
Step 3: Continuing with the original expression, we now have 15+g+6/6.
Step 4: Since 6/6 equals 1, we can replace 6/6 with 1, giving us 15+g+1.
Step 5: Simplify 15+1 to 16, so the expression becomes 16+g.
Therefore, we have shown that 15+g+3/2⋅2/3 is equivalent to 16+g.